8872132864 has 135 divisors (see below), whose sum is σ = 21336721707. Its totient is φ = 3671227392.

The previous prime is 8872132837. The next prime is 8872132877. The reversal of 8872132864 is 4682312788.

The square root of 8872132864 is 94192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 21086464 + 8851046400 = 4592^2 + 94080^2 .

It is a super-3 number, since 3×8872132864³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 305935602 + ... + 305935630.

Almost surely, 2^8872132864 is an apocalyptic number.

8872132864 is the 94192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8872132864

8872132864 is an abundant number, since it is smaller than the sum of its proper divisors (12464588843).

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

8872132864 is an frugal number, since it uses more digits than its factorization.

8872132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 38 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The cubic root of 8872132864 is about 2070.1858969397.

Multiplying 8872132864 by its sum of digits (49), we get a 4-th power (434734510336 = 812⁴).

8872132864 divided by its sum of digits (49) gives a 4-th power (181063936 = 116⁴).

The spelling of 8872132864 in words is "eight billion, eight hundred seventy-two million, one hundred thirty-two thousand, eight hundred sixty-four".