854866560 has 128 divisors (see below), whose sum is σ = 2733240960. Its totient is φ = 227266560.

The previous prime is 854866559. The next prime is 854866567. The reversal of 854866560 is 65668458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (854866567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038309 + ... + 1039131.

It is an arithmetic number, because the mean of its divisors is an integer number (21353445).

Almost surely, 2^854866560 is an apocalyptic number.

854866560 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 854866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366620480).

854866560 is an abundant number, since it is smaller than the sum of its proper divisors (1878374400).

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

854866560 is a wasteful number, since it uses less digits than its factorization.

854866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 854866560 is about 29238.1011695356. The cubic root of 854866560 is about 949.0726166885.

The spelling of 854866560 in words is "eight hundred fifty-four million, eight hundred sixty-six thousand, five hundred sixty".