856249920 has 112 divisors (see below), whose sum is σ = 3020689920. Its totient is φ = 228331008.

The previous prime is 856249909. The next prime is 856249939. The reversal of 856249920 is 29942658.

856249920 is a `hidden beast` number, since 85 + 62 + 499 + 20 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40912 + ... + 58191.

Almost surely, 2^856249920 is an apocalyptic number.

856249920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

856249920 is an abundant number, since it is smaller than the sum of its proper divisors (2164440000).

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

856249920 is a wasteful number, since it uses less digits than its factorization.

856249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99129 (or 99113 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 856249920 is about 29261.7484098268. The cubic root of 856249920 is about 949.5842760911.

The spelling of 856249920 in words is "eight hundred fifty-six million, two hundred forty-nine thousand, nine hundred twenty".