856258560 has 384 divisors, whose sum is σ = 3223584000. Its totient is φ = 214990848.

The previous prime is 856258519. The next prime is 856258577. The reversal of 856258560 is 65852658.

856258560 is a `hidden beast` number, since 8 + 5 + 6 + 2 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5253039 + ... + 5253201.

It is an arithmetic number, because the mean of its divisors is an integer number (8394750).

Almost surely, 2^856258560 is an apocalyptic number.

856258560 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 856258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611792000).

856258560 is an abundant number, since it is smaller than the sum of its proper divisors (2367325440).

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

856258560 is a wasteful number, since it uses less digits than its factorization.

856258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 856258560 is about 29261.8960424645. The cubic root of 856258560 is about 949.5874700109.

The spelling of 856258560 in words is "eight hundred fifty-six million, two hundred fifty-eight thousand, five hundred sixty".