11638368 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3168000.

The previous prime is 11638349. The next prime is 11638409. The reversal of 11638368 is 86383611.

11638368 is a `hidden beast` number, since 11 + 638 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46243 + ... + 46493.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^11638368 is an apocalyptic number.

11638368 is a gapful number since it is divisible by the number (18) 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 11638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

11638368 is an abundant number, since it is smaller than the sum of its proper divisors (27988128).

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

11638368 is a wasteful number, since it uses less digits than its factorization.

11638368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11638368 is about 3411.5052396266. The cubic root of 11638368 is about 226.6195442219.

The spelling of 11638368 in words is "eleven million, six hundred thirty-eight thousand, three hundred sixty-eight".