11638872 has 72 divisors (see below), whose sum is σ = 36679500. Its totient is φ = 3324384.

The previous prime is 11638819. The next prime is 11638873. The reversal of 11638872 is 27883611.

11638872 is a `hidden beast` number, since 11 + 638 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1879 + ... + 5177.

Almost surely, 2^11638872 is an apocalyptic number.

11638872 is a gapful number since it is divisible by the number (12) 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 11638872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339750).

11638872 is an abundant number, since it is smaller than the sum of its proper divisors (25040628).

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

11638872 is a wasteful number, since it uses less digits than its factorization.

11638872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3311 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11638872 is about 3411.5791065136. The cubic root of 11638872 is about 226.6228154309.

The spelling of 11638872 in words is "eleven million, six hundred thirty-eight thousand, eight hundred seventy-two".