856332360 has 192 divisors, whose sum is σ = 3043010880. Its totient is φ = 207567360.

The previous prime is 856332359. The next prime is 856332361. The reversal of 856332360 is 63233658.

It is a happy number.

856332360 is a `hidden beast` number, since 8 + 563 + 32 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (856332359) and next prime (856332361).

It is a super-2 number, since 2×856332360² = 1466610221566339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (856332361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 312195 + ... + 314925.

It is an arithmetic number, because the mean of its divisors is an integer number (15849015).

Almost surely, 2^856332360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856332360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521505440).

856332360 is an abundant number, since it is smaller than the sum of its proper divisors (2186678520).

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

856332360 is a wasteful number, since it uses less digits than its factorization.

856332360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 856332360 is about 29263.1570408936. The cubic root of 856332360 is about 949.6147505331.

The spelling of 856332360 in words is "eight hundred fifty-six million, three hundred thirty-two thousand, three hundred sixty".