856152960 has 128 divisors (see below), whose sum is σ = 2938995360. Its totient is φ = 210739200.

The previous prime is 856152949. The next prime is 856152961. The reversal of 856152960 is 69251658.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856152961) 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, 7810 + ... + 42110.

Almost surely, 2^856152960 is an apocalyptic number.

856152960 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 856152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469497680).

856152960 is an abundant number, since it is smaller than the sum of its proper divisors (2082842400).

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

856152960 is a wasteful number, since it uses less digits than its factorization.

856152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34336 (or 34324 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 856152960 is about 29260.0915924746. The cubic root of 856152960 is about 949.5484317405.

The spelling of 856152960 in words is "eight hundred fifty-six million, one hundred fifty-two thousand, nine hundred sixty".