13793680 has 20 divisors (see below), whose sum is σ = 32070492. Its totient is φ = 5517440.

The previous prime is 13793653. The next prime is 13793683. The reversal of 13793680 is 8639731.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 3139984 = 3264^2 + 1772^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13793683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86131 + ... + 86290.

Almost surely, 2^13793680 is an apocalyptic number.

13793680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13793680 is an abundant number, since it is smaller than the sum of its proper divisors (18276812).

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

13793680 is a wasteful number, since it uses less digits than its factorization.

13793680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172434 (or 172428 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 13793680 is about 3713.9843833813. The cubic root of 13793680 is about 239.8244086003.

The spelling of 13793680 in words is "thirteen million, seven hundred ninety-three thousand, six hundred eighty".