11838160 has 20 divisors (see below), whose sum is σ = 27523908. Its totient is φ = 4735232.

The previous prime is 11838131. The next prime is 11838179. The reversal of 11838160 is 6183811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3474496 + 8363664 = 1864^2 + 2892^2 .

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

It is a congruent number.

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, 73909 + ... + 74068.

Almost surely, 2^11838160 is an apocalyptic number.

11838160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11838160 is an abundant number, since it is smaller than the sum of its proper divisors (15685748).

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

11838160 is a wasteful number, since it uses less digits than its factorization.

11838160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147990 (or 147984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 11838160 is about 3440.6627268595. The cubic root of 11838160 is about 227.9089612941.

The spelling of 11838160 in words is "eleven million, eight hundred thirty-eight thousand, one hundred sixty".