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816480 = 253657
BaseRepresentation
bin11000111010101100000
31112111000000
43013111200
5202111410
625300000
76640260
oct3072540
91474000
10816480
11508485
12334600
13227832
141737a0
15111dc0
hexc7560

816480 has 168 divisors, whose sum is σ = 3305232. Its totient is φ = 186624.

The previous prime is 816469. The next prime is 816499. The reversal of 816480 is 84618.

It can be divided in two parts, 816 and 480, that added together give a 4-th power (1296 = 64).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

816480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116637 + ... + 116643.

It is an arithmetic number, because the mean of its divisors is an integer number (19674).

2816480 is an apocalyptic number.

816480 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 816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652616).

816480 is an abundant number, since it is smaller than the sum of its proper divisors (2488752).

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

816480 is an equidigital number, since it uses as much as digits as its factorization.

816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 816480 is about 903.5928286568. The cubic root of 816480 is about 93.4648938333.

The spelling of 816480 in words is "eight hundred sixteen thousand, four hundred eighty".