13693680 has 480 divisors, whose sum is σ = 64995840. Its totient is φ = 2488320.

The previous prime is 13693639. The next prime is 13693703. The reversal of 13693680 is 8639631.

It is a happy number.

13693680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720711 + ... + 720729.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^13693680 is an apocalyptic number.

13693680 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 13693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

13693680 is an abundant number, since it is smaller than the sum of its proper divisors (51302160).

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

13693680 is a wasteful number, since it uses less digits than its factorization.

13693680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13693680 is about 3700.4972638822. The cubic root of 13693680 is about 239.2434509792.

The spelling of 13693680 in words is "thirteen million, six hundred ninety-three thousand, six hundred eighty".