13800416 has 24 divisors (see below), whose sum is σ = 31051440. Its totient is φ = 5914368.

The previous prime is 13800389. The next prime is 13800443. The reversal of 13800416 is 61400831.

It is an interprime number because it is at equal distance from previous prime (13800389) and next prime (13800443).

It is a junction number, because it is equal to n+sod(n) for n = 13800391 and 13800400.

It is a congruent number.

It is an unprimeable number.

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, 30581 + ... + 31028.

It is an arithmetic number, because the mean of its divisors is an integer number (1293810).

Almost surely, 2^13800416 is an apocalyptic number.

13800416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13800416 is an abundant number, since it is smaller than the sum of its proper divisors (17251024).

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

13800416 is an equidigital number, since it uses as much as digits as its factorization.

13800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61626 (or 61618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13800416 is about 3714.8911154972. The cubic root of 13800416 is about 239.8634408316.

The spelling of 13800416 in words is "thirteen million, eight hundred thousand, four hundred sixteen".