86601636 has 135 divisors (see below), whose sum is σ = 254253307. Its totient is φ = 25684560.

The previous prime is 86601607. The next prime is 86601643. The reversal of 86601636 is 63610668.

The square root of 86601636 is 9306.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86601636.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1842565 + ... + 1842611.

Almost surely, 2^86601636 is an apocalyptic number.

86601636 is the 9306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86601636

86601636 is an abundant number, since it is smaller than the sum of its proper divisors (167651671).

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

86601636 is a wasteful number, since it uses less digits than its factorization.

86601636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 86601636 is about 442.4274169946.

Multiplying 86601636 by its sum of digits (36), we get a square (3117658896 = 55836²).

86601636 divided by its sum of digits (36) gives a square (2405601 = 1551²).

It can be divided in two parts, 8660 and 1636, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 86601636 in words is "eighty-six million, six hundred one thousand, six hundred thirty-six".