11638972 has 24 divisors (see below), whose sum is σ = 20888784. Its totient is φ = 5672832.

The previous prime is 11638961. The next prime is 11638973. The reversal of 11638972 is 27983611.

11638972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36558 + ... + 36874.

It is an arithmetic number, because the mean of its divisors is an integer number (870366).

Almost surely, 2^11638972 is an apocalyptic number.

It is an amenable number.

11638972 is a deficient number, since it is larger than the sum of its proper divisors (9249812).

11638972 is a wasteful number, since it uses less digits than its factorization.

11638972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 11638972 is about 3411.5937624518. The cubic root of 11638972 is about 226.6234644691.

The spelling of 11638972 in words is "eleven million, six hundred thirty-eight thousand, nine hundred seventy-two".