851302656 has 288 divisors, whose sum is σ = 2707891200. Its totient is φ = 263208960.

The previous prime is 851302651. The next prime is 851302663. The reversal of 851302656 is 656203158.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×851302656² = 1449432424225308672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 851302656.

It is not an unprimeable number, because it can be changed into a prime (851302651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6213820 + ... + 6213956.

It is an arithmetic number, because the mean of its divisors is an integer number (9402400).

Almost surely, 2^851302656 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 851302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353945600).

851302656 is an abundant number, since it is smaller than the sum of its proper divisors (1856588544).

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

851302656 is a wasteful number, since it uses less digits than its factorization.

851302656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 851302656 is about 29177.0912875153. The cubic root of 851302656 is about 947.7518979011.

The spelling of 851302656 in words is "eight hundred fifty-one million, three hundred two thousand, six hundred fifty-six".