18364960 has 24 divisors (see below), whose sum is σ = 43387596. Its totient is φ = 7345920.

The previous prime is 18364943. The next prime is 18364961. The reversal of 18364960 is 6946381.

It can be written as a sum of positive squares in 2 ways, for example, as 15023376 + 3341584 = 3876^2 + 1828^2 .

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 (18364961) 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, 57231 + ... + 57550.

Almost surely, 2^18364960 is an apocalyptic number.

18364960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18364960 is an abundant number, since it is smaller than the sum of its proper divisors (25022636).

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

18364960 is a wasteful number, since it uses less digits than its factorization.

18364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114796 (or 114788 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 18364960 is about 4285.4358004758. The cubic root of 18364960 is about 263.8335344816.

The spelling of 18364960 in words is "eighteen million, three hundred sixty-four thousand, nine hundred sixty".