851627664 has 120 divisors (see below), whose sum is σ = 2425737600. Its totient is φ = 278885376.

The previous prime is 851627641. The next prime is 851627669. The reversal of 851627664 is 466726158.

851627664 is a `hidden beast` number, since 8 + 516 + 2 + 76 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851627669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3237997 + ... + 3238259.

It is an arithmetic number, because the mean of its divisors is an integer number (20214480).

Almost surely, 2^851627664 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 851627664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212868800).

851627664 is an abundant number, since it is smaller than the sum of its proper divisors (1574109936).

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

851627664 is a wasteful number, since it uses less digits than its factorization.

851627664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 851627664 is about 29182.6603310939. The cubic root of 851627664 is about 947.8724925982.

The spelling of 851627664 in words is "eight hundred fifty-one million, six hundred twenty-seven thousand, six hundred sixty-four".