11638880 has 96 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 3973120.

The previous prime is 11638877. The next prime is 11638903. The reversal of 11638880 is 8883611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11638880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29726 + ... + 30114.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 2^11638880 is an apocalyptic number.

11638880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

11638880 is an abundant number, since it is smaller than the sum of its proper divisors (20203840).

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

11638880 is a wasteful number, since it uses less digits than its factorization.

11638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 11638880 is about 3411.5802789910. The cubic root of 11638880 is about 226.6228673541.

The spelling of 11638880 in words is "eleven million, six hundred thirty-eight thousand, eight hundred eighty".