36684864 has 42 divisors (see below), whose sum is σ = 105152190. Its totient is φ = 12228096.

The previous prime is 36684859. The next prime is 36684881. The reversal of 36684864 is 46848663.

It can be written as a sum of positive squares in only one way, i.e., 31809600 + 4875264 = 5640^2 + 2208^2 .

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, 31269 + ... + 32420.

Almost surely, 2^36684864 is an apocalyptic number.

It is an amenable number.

36684864 is an abundant number, since it is smaller than the sum of its proper divisors (68467326).

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

36684864 is a wasteful number, since it uses less digits than its factorization.

36684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63707 (or 63694 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 36684864 is about 6056.8031171568. The cubic root of 36684864 is about 332.2734477216.

The spelling of 36684864 in words is "thirty-six million, six hundred eighty-four thousand, eight hundred sixty-four".