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855680 = 2757191
BaseRepresentation
bin11010000111010000000
31121110202212
43100322000
5204340210
630201252
710162460
oct3207200
91543685
10855680
11534981
12353228
1323c627
14183ba0
1511d805
hexd0e80

855680 has 64 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 291840.

The previous prime is 855671. The next prime is 855683. The reversal of 855680 is 86558.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (855683) by changing a digit.

855680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4385 + ... + 4575.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2855680 is an apocalyptic number.

855680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

855680 is an abundant number, since it is smaller than the sum of its proper divisors (1494400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

855680 is a wasteful number, since it uses less digits than its factorization.

855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 855680 is about 925.0297292520. The cubic root of 855680 is about 94.9373548213.

The spelling of 855680 in words is "eight hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 191 224 280 320 382 448 560 640 764 896 955 1120 1337 1528 1910 2240 2674 3056 3820 4480 5348 6112 6685 7640 10696 12224 13370 15280 21392 24448 26740 30560 42784 53480 61120 85568 106960 122240 171136 213920 427840 855680