851609664 has 84 divisors (see below), whose sum is σ = 2477530224. Its totient is φ = 279620352.

The previous prime is 851609663. The next prime is 851609669. The reversal of 851609664 is 466906158.

It is not an unprimeable number, because it can be changed into a prime (851609663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27559 + ... + 49625.

Almost surely, 2^851609664 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 851609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238765112).

851609664 is an abundant number, since it is smaller than the sum of its proper divisors (1625920560).

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

851609664 is a wasteful number, since it uses less digits than its factorization.

851609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22152 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 851609664 is about 29182.3519271494. The cubic root of 851609664 is about 947.8658144743.

The spelling of 851609664 in words is "eight hundred fifty-one million, six hundred nine thousand, six hundred sixty-four".