13630864 has 45 divisors (see below), whose sum is σ = 29006049. Its totient is φ = 6202560.

The previous prime is 13630861. The next prime is 13630867. The reversal of 13630864 is 46803631.

The square root of 13630864 is 3692.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13630861) and next prime (13630867).

It can be written as a sum of positive squares in only one way, i.e., 2016400 + 11614464 = 1420^2 + 3408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13630861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 191949 + ... + 192019.

Almost surely, 2^13630864 is an apocalyptic number.

13630864 is the 3692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630864

13630864 is an abundant number, since it is smaller than the sum of its proper divisors (15375185).

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

13630864 is an equidigital number, since it uses as much as digits as its factorization.

13630864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 13630864 is about 238.8770689503.

The spelling of 13630864 in words is "thirteen million, six hundred thirty thousand, eight hundred sixty-four".