36896320 has 28 divisors (see below), whose sum is σ = 87860124. Its totient is φ = 14758400.

The previous prime is 36896311. The next prime is 36896339. The reversal of 36896320 is 2369863.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19855936 + 17040384 = 4456^2 + 4128^2 .

It is a super-2 number, since 2×36896320² = 2722676859084800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36896320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57331 + ... + 57970.

Almost surely, 2^36896320 is an apocalyptic number.

It is an amenable number.

36896320 is an abundant number, since it is smaller than the sum of its proper divisors (50963804).

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

36896320 is a wasteful number, since it uses less digits than its factorization.

36896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115318 (or 115308 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 36896320 is about 6074.2341080996. The cubic root of 36896320 is about 332.9106464562.

The spelling of 36896320 in words is "thirty-six million, eight hundred ninety-six thousand, three hundred twenty".