856252320 has 192 divisors, whose sum is σ = 3362881536. Its totient is φ = 177914880.

The previous prime is 856252301. The next prime is 856252351. The reversal of 856252320 is 23252658.

It is a super-3 number, since 3×856252320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 25377 + ... + 48543.

It is an arithmetic number, because the mean of its divisors is an integer number (17515008).

Almost surely, 2^856252320 is an apocalyptic number.

856252320 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 856252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681440768).

856252320 is an abundant number, since it is smaller than the sum of its proper divisors (2506629216).

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

856252320 is a wasteful number, since it uses less digits than its factorization.

856252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23203 (or 23195 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 856252320 is about 29261.7894189675. The cubic root of 856252320 is about 949.5851632932.

The spelling of 856252320 in words is "eight hundred fifty-six million, two hundred fifty-two thousand, three hundred twenty".