851376064 has 112 divisors (see below), whose sum is σ = 2174662656. Its totient is φ = 320947200.

The previous prime is 851376059. The next prime is 851376067. The reversal of 851376064 is 460673158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851376067) 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, 149982 + ... + 155554.

Almost surely, 2^851376064 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 851376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087331328).

851376064 is an abundant number, since it is smaller than the sum of its proper divisors (1323286592).

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

851376064 is a wasteful number, since it uses less digits than its factorization.

851376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 851376064 is about 29178.3492336355. The cubic root of 851376064 is about 947.7791387306.

The spelling of 851376064 in words is "eight hundred fifty-one million, three hundred seventy-six thousand, sixty-four".