856518264 has 96 divisors (see below), whose sum is σ = 2661335040. Its totient is φ = 243777600.

The previous prime is 856518253. The next prime is 856518287. The reversal of 856518264 is 462815658.

856518264 is a `hidden beast` number, since 8 + 565 + 1 + 82 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133449 + ... + 139719.

It is an arithmetic number, because the mean of its divisors is an integer number (27722240).

Almost surely, 2^856518264 is an apocalyptic number.

856518264 is a gapful number since it is divisible by the number (84) 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 856518264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330667520).

856518264 is an abundant number, since it is smaller than the sum of its proper divisors (1804816776).

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

856518264 is a wasteful number, since it uses less digits than its factorization.

856518264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6554 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 856518264 is about 29266.3332858765. Note that the first 3 decimals coincide. The cubic root of 856518264 is about 949.6834638876.

The spelling of 856518264 in words is "eight hundred fifty-six million, five hundred eighteen thousand, two hundred sixty-four".