851289264 has 240 divisors, whose sum is σ = 2917591040. Its totient is φ = 235146240.

The previous prime is 851289253. The next prime is 851289289. The reversal of 851289264 is 462982158.

851289264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×851289264² = 1449386822003323392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843192 + ... + 844200.

Almost surely, 2^851289264 is an apocalyptic number.

851289264 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 851289264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458795520).

851289264 is an abundant number, since it is smaller than the sum of its proper divisors (2066301776).

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

851289264 is a wasteful number, since it uses less digits than its factorization.

851289264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1052 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 851289264 is about 29176.8617914950. The cubic root of 851289264 is about 947.7469281214.

The spelling of 851289264 in words is "eight hundred fifty-one million, two hundred eighty-nine thousand, two hundred sixty-four".