13764640 has 24 divisors (see below), whose sum is σ = 32519340. Its totient is φ = 5505792.

The previous prime is 13764623. The next prime is 13764659. The reversal of 13764640 is 4646731.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 15376 = 3708^2 + 124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42855 + ... + 43174.

Almost surely, 2^13764640 is an apocalyptic number.

13764640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13764640 is an abundant number, since it is smaller than the sum of its proper divisors (18754700).

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

13764640 is an equidigital number, since it uses as much as digits as its factorization.

13764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86044 (or 86036 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 13764640 is about 3710.0727755665. The cubic root of 13764640 is about 239.6559886178.

The spelling of 13764640 in words is "thirteen million, seven hundred sixty-four thousand, six hundred forty".