11638320 has 80 divisors (see below), whose sum is σ = 36640512. Its totient is φ = 3055360.

The previous prime is 11638303. The next prime is 11638321. The reversal of 11638320 is 2383611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11638321) 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, 16699 + ... + 17381.

Almost surely, 2^11638320 is an apocalyptic number.

11638320 is a gapful number since it is divisible by the number (10) 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 11638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320256).

11638320 is an abundant number, since it is smaller than the sum of its proper divisors (25002192).

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

11638320 is a wasteful number, since it uses less digits than its factorization.

11638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11638320 is about 3411.4982046016. The cubic root of 11638320 is about 226.6192326733.

It can be divided in two parts, 116383 and 20, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 11638320 in words is "eleven million, six hundred thirty-eight thousand, three hundred twenty".