36792960 has 64 divisors (see below), whose sum is σ = 117283680. Its totient is φ = 9810944.

The previous prime is 36792937. The next prime is 36792961. The reversal of 36792960 is 6929763.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) 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 (36792961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7662 + ... + 11501.

Almost surely, 2^36792960 is an apocalyptic number.

36792960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36792960 is an abundant number, since it is smaller than the sum of its proper divisors (80490720).

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

36792960 is a wasteful number, since it uses less digits than its factorization.

36792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19185 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 36792960 is about 6065.7200726707. The cubic root of 36792960 is about 332.5994878201.

The spelling of 36792960 in words is "thirty-six million, seven hundred ninety-two thousand, nine hundred sixty".