13630816 has 24 divisors (see below), whose sum is σ = 27279504. Its totient is φ = 6702720.

The previous prime is 13630807. The next prime is 13630817. The reversal of 13630816 is 61803631.

13630816 = T₃₀₁₃ + T₃₀₁₄ + T₃₀₁₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1540 + ... + 5443.

It is an arithmetic number, because the mean of its divisors is an integer number (1136646).

Almost surely, 2^13630816 is an apocalyptic number.

13630816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13630816 is the 3015-th centered triangular number.

It is an amenable number.

13630816 is an abundant number, since it is smaller than the sum of its proper divisors (13648688).

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

13630816 is an equidigital number, since it uses as much as digits as its factorization.

13630816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 13630816 is about 3691.9934994526. The cubic root of 13630816 is about 238.8767885544.

The spelling of 13630816 in words is "thirteen million, six hundred thirty thousand, eight hundred sixteen".