36216864 has 36 divisors (see below), whose sum is σ = 102992526. Its totient is φ = 12072192.

The previous prime is 36216857. The next prime is 36216889. The reversal of 36216864 is 46861263.

It can be written as a sum of positive squares in only one way, i.e., 22467600 + 13749264 = 4740^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×36216864² = 2623322475988992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62589 + ... + 63164.

Almost surely, 2^36216864 is an apocalyptic number.

It is an amenable number.

36216864 is an abundant number, since it is smaller than the sum of its proper divisors (66775662).

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

36216864 is a wasteful number, since it uses less digits than its factorization.

36216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125769 (or 125758 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36216864 is about 6018.0448652365. The cubic root of 36216864 is about 330.8544249606.

The spelling of 36216864 in words is "thirty-six million, two hundred sixteen thousand, eight hundred sixty-four".