86638864 has 45 divisors (see below), whose sum is σ = 182789733. Its totient is φ = 39763776.

The previous prime is 86638859. The next prime is 86638883. The reversal of 86638864 is 46883668.

The square root of 86638864 is 9308.

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

It can be written as a sum of positive squares in only one way, i.e., 12816400 + 73822464 = 3580^2 + 8592^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 483927 + ... + 484105.

Almost surely, 2^86638864 is an apocalyptic number.

86638864 is the 9308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86638864

86638864 is an abundant number, since it is smaller than the sum of its proper divisors (96150869).

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

86638864 is a wasteful number, since it uses less digits than its factorization.

86638864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 194 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

The cubic root of 86638864 is about 442.4908042819.

Multiplying 86638864 by its sum of digits (49), we get a square (4245304336 = 65156²).

Multiplying 86638864 by its product of digits (1327104), we get a square (114978782969856 = 10722816²).

The spelling of 86638864 in words is "eighty-six million, six hundred thirty-eight thousand, eight hundred sixty-four".