13630080 has 128 divisors (see below), whose sum is σ = 45043200. Its totient is φ = 3502080.

The previous prime is 13630061. The next prime is 13630091. The reversal of 13630080 is 8003631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 59406 + ... + 59634.

It is an arithmetic number, because the mean of its divisors is an integer number (351900).

Almost surely, 2^13630080 is an apocalyptic number.

13630080 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 13630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521600).

13630080 is an abundant number, since it is smaller than the sum of its proper divisors (31413120).

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

13630080 is a wasteful number, since it uses less digits than its factorization.

13630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13630080 is about 3691.8938229586. The cubic root of 13630080 is about 238.8724890691.

The spelling of 13630080 in words is "thirteen million, six hundred thirty thousand, eighty".