856088640 has 336 divisors, whose sum is σ = 3272308416. Its totient is φ = 203673600.

The previous prime is 856088621. The next prime is 856088657. The reversal of 856088640 is 46880658.

856088640 is a `hidden beast` number, since 8 + 560 + 8 + 86 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1932259 + ... + 1932701.

Almost surely, 2^856088640 is an apocalyptic number.

856088640 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 856088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636154208).

856088640 is an abundant number, since it is smaller than the sum of its proper divisors (2416219776).

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

856088640 is a wasteful number, since it uses less digits than its factorization.

856088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 856088640 is about 29258.9924638563. The cubic root of 856088640 is about 949.5246523119.

The spelling of 856088640 in words is "eight hundred fifty-six million, eighty-eight thousand, six hundred forty".