11638144 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 4815360.

The previous prime is 11638139. The next prime is 11638181. The reversal of 11638144 is 44183611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27567 + ... + 27985.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 2^11638144 is an apocalyptic number.

11638144 is a gapful number since it is divisible by the number (14) 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 11638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

11638144 is an abundant number, since it is smaller than the sum of its proper divisors (15779456).

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

11638144 is an equidigital number, since it uses as much as digits as its factorization.

11638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 11638144 is about 3411.4724093857. The cubic root of 11638144 is about 226.6180903210.

The spelling of 11638144 in words is "eleven million, six hundred thirty-eight thousand, one hundred forty-four".