872686815 has 288 divisors, whose sum is σ = 2101510656. Its totient is φ = 303367680.

The previous prime is 872686813. The next prime is 872686873. The reversal of 872686815 is 518686278.

It is not a de Polignac number, because 872686815 - 2¹ = 872686813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872686813) 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 287 ways as a sum of consecutive naturals, for example, 37942894 + ... + 37942916.

It is an arithmetic number, because the mean of its divisors is an integer number (7296912).

Almost surely, 2^872686815 is an apocalyptic number.

872686815 is an abundant number, since it is smaller than the sum of its proper divisors (1228823841).

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

872686815 is a wasteful number, since it uses less digits than its factorization.

872686815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 872686815 is about 29541.2730768327. The cubic root of 872686815 is about 955.6219973306.

The spelling of 872686815 in words is "eight hundred seventy-two million, six hundred eighty-six thousand, eight hundred fifteen".