13638560 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 4912128.

The previous prime is 13638551. The next prime is 13638593. The reversal of 13638560 is 6583631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164279 + ... + 164361.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^13638560 is an apocalyptic number.

13638560 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 13638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

13638560 is an abundant number, since it is smaller than the sum of its proper divisors (21923680).

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

13638560 is a wasteful number, since it uses less digits than its factorization.

13638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 13638560 is about 3693.0421064483. The cubic root of 13638560 is about 238.9220172393.

The spelling of 13638560 in words is "thirteen million, six hundred thirty-eight thousand, five hundred sixty".