13628760 has 64 divisors (see below), whose sum is σ = 41234400. Its totient is φ = 3603456.

The previous prime is 13628759. The next prime is 13628773. The reversal of 13628760 is 6782631.

It is a congruent number.

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, 16026 + ... + 16854.

Almost surely, 2^13628760 is an apocalyptic number.

13628760 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 13628760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20617200).

13628760 is an abundant number, since it is smaller than the sum of its proper divisors (27605640).

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

13628760 is a wasteful number, since it uses less digits than its factorization.

13628760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13628760 is about 3691.7150485919. The cubic root of 13628760 is about 238.8647776478.

The spelling of 13628760 in words is "thirteen million, six hundred twenty-eight thousand, seven hundred sixty".