13253680 has 40 divisors (see below), whose sum is σ = 33618384. Its totient is φ = 4819200.

The previous prime is 13253677. The next prime is 13253687. The reversal of 13253680 is 8635231.

13253680 = 628² + 629² + ... + 659².

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13253687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6651 + ... + 8410.

Almost surely, 2^13253680 is an apocalyptic number.

13253680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13253680 is an abundant number, since it is smaller than the sum of its proper divisors (20364704).

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

13253680 is a wasteful number, since it uses less digits than its factorization.

13253680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15079 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 13253680 is about 3640.5603964225. The cubic root of 13253680 is about 236.6530795171.

It can be divided in two parts, 1325 and 3680, that added together give a palindrome (5005).

The spelling of 13253680 in words is "thirteen million, two hundred fifty-three thousand, six hundred eighty".