13630656 has 112 divisors (see below), whose sum is σ = 40054784. Its totient is φ = 4064256.

The previous prime is 13630649. The next prime is 13630663. The reversal of 13630656 is 65603631.

It is an interprime number because it is at equal distance from previous prime (13630649) and next prime (13630663).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107265 + ... + 107391.

It is an arithmetic number, because the mean of its divisors is an integer number (357632).

Almost surely, 2^13630656 is an apocalyptic number.

13630656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027392).

13630656 is an abundant number, since it is smaller than the sum of its proper divisors (26424128).

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

13630656 is a wasteful number, since it uses less digits than its factorization.

13630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 13630656 is about 3691.9718308785. The cubic root of 13630656 is about 238.8758538969.

The spelling of 13630656 in words is "thirteen million, six hundred thirty thousand, six hundred fifty-six".