11638160 has 20 divisors (see below), whose sum is σ = 27058908. Its totient is φ = 4655232.

The previous prime is 11638139. The next prime is 11638181. The reversal of 11638160 is 6183611.

It is an interprime number because it is at equal distance from previous prime (11638139) and next prime (11638181).

It can be written as a sum of positive squares in 2 ways, for example, as 3041536 + 8596624 = 1744^2 + 2932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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, 72659 + ... + 72818.

Almost surely, 2^11638160 is an apocalyptic number.

11638160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638160 is an abundant number, since it is smaller than the sum of its proper divisors (15420748).

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

11638160 is a wasteful number, since it uses less digits than its factorization.

11638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145490 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 11638160 is about 3411.4747544134. The cubic root of 11638160 is about 226.6181941716.

The spelling of 11638160 in words is "eleven million, six hundred thirty-eight thousand, one hundred sixty".