856168960 has 160 divisors (see below), whose sum is σ = 2206144512. Its totient is φ = 317521920.

The previous prime is 856168939. The next prime is 856168961. The reversal of 856168960 is 69861658.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (856168961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4482465 + ... + 4482655.

Almost surely, 2^856168960 is an apocalyptic number.

856168960 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 856168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103072256).

856168960 is an abundant number, since it is smaller than the sum of its proper divisors (1349975552).

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

856168960 is a wasteful number, since it uses less digits than its factorization.

856168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 856168960 is about 29260.3650011410. The cubic root of 856168960 is about 949.5543468363.

The spelling of 856168960 in words is "eight hundred fifty-six million, one hundred sixty-eight thousand, nine hundred sixty".