13630480 has 40 divisors (see below), whose sum is σ = 32176512. Its totient is φ = 5368704.

The previous prime is 13630469. The next prime is 13630553. The reversal of 13630480 is 8403631.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4089 + ... + 6631.

Almost surely, 2^13630480 is an apocalyptic number.

13630480 is a gapful number since it is divisible by the number (10) 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 13630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088256).

13630480 is an abundant number, since it is smaller than the sum of its proper divisors (18546032).

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

13630480 is a wasteful number, since it uses less digits than its factorization.

13630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13630480 is about 3691.9479953000. The cubic root of 13630480 is about 238.8748257651.

The spelling of 13630480 in words is "thirteen million, six hundred thirty thousand, four hundred eighty".