11638788 has 48 divisors (see below), whose sum is σ = 31309824. Its totient is φ = 3296160.

The previous prime is 11638777. The next prime is 11638789. The reversal of 11638788 is 88783611.

It is a super-2 number, since 2×11638788² = 270922772217888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11638789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10123 + ... + 11213.

It is an arithmetic number, because the mean of its divisors is an integer number (652288).

Almost surely, 2^11638788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11638788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654912).

11638788 is an abundant number, since it is smaller than the sum of its proper divisors (19671036).

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

11638788 is a wasteful number, since it uses less digits than its factorization.

11638788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 11638788 is about 3411.5667954768. The cubic root of 11638788 is about 226.6222702360.

The spelling of 11638788 in words is "eleven million, six hundred thirty-eight thousand, seven hundred eighty-eight".