13813440 has 56 divisors (see below), whose sum is σ = 43860720. Its totient is φ = 3683328.

The previous prime is 13813439. The next prime is 13813451. The reversal of 13813440 is 4431831.

It is a super-2 number, since 2×13813440² = 381622249267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13813440.

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, 6235 + ... + 8154.

Almost surely, 2^13813440 is an apocalyptic number.

13813440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13813440 is an abundant number, since it is smaller than the sum of its proper divisors (30047280).

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

13813440 is a wasteful number, since it uses less digits than its factorization.

13813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14409 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13813440 is about 3716.6436471634. The cubic root of 13813440 is about 239.9388733216.

The spelling of 13813440 in words is "thirteen million, eight hundred thirteen thousand, four hundred forty".