13680624 has 40 divisors (see below), whose sum is σ = 35511120. Its totient is φ = 4538368.

The previous prime is 13680613. The next prime is 13680637. The reversal of 13680624 is 42608631.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13680591 and 13680600.

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, 11782 + ... + 12890.

It is an arithmetic number, because the mean of its divisors is an integer number (887778).

Almost surely, 2^13680624 is an apocalyptic number.

It is an amenable number.

13680624 is an abundant number, since it is smaller than the sum of its proper divisors (21830496).

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

13680624 is a wasteful number, since it uses less digits than its factorization.

13680624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13680624 is about 3698.7327559585. The cubic root of 13680624 is about 239.1673926388.

It can be divided in two parts, 136806 and 24, that multiplied together give a square (3283344 = 1812²).

The spelling of 13680624 in words is "thirteen million, six hundred eighty thousand, six hundred twenty-four".