36508960 has 24 divisors (see below), whose sum is σ = 86252796. Its totient is φ = 14603520.

The previous prime is 36508951. The next prime is 36508963. The reversal of 36508960 is 6980563.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 364816 = 6012^2 + 604^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36508963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113931 + ... + 114250.

Almost surely, 2^36508960 is an apocalyptic number.

It is an amenable number.

36508960 is an abundant number, since it is smaller than the sum of its proper divisors (49743836).

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

36508960 is a wasteful number, since it uses less digits than its factorization.

36508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228196 (or 228188 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 36508960 is about 6042.2644761712. The cubic root of 36508960 is about 331.7415126434.

The spelling of 36508960 in words is "thirty-six million, five hundred eight thousand, nine hundred sixty".