13630464 has 176 divisors, whose sum is σ = 44215200. Its totient is φ = 4128768.

The previous prime is 13630459. The next prime is 13630469. The reversal of 13630464 is 46403631.

13630464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13630459) and next prime (13630469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470002 + ... + 470030.

Almost surely, 2^13630464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107600).

13630464 is an abundant number, since it is smaller than the sum of its proper divisors (30584736).

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

13630464 is a wasteful number, since it uses less digits than its factorization.

13630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 13630464 is about 3691.9458284216. The cubic root of 13630464 is about 238.8747322981.

The spelling of 13630464 in words is "thirteen million, six hundred thirty thousand, four hundred sixty-four".