13290960 has 80 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3494400.

The previous prime is 13290917. The next prime is 13290973. The reversal of 13290960 is 6909231.

13290960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18610 + ... + 19310.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^13290960 is an apocalyptic number.

13290960 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 13290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

13290960 is an abundant number, since it is smaller than the sum of its proper divisors (28492080).

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

13290960 is a wasteful number, since it uses less digits than its factorization.

13290960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13290960 is about 3645.6768918817. The cubic root of 13290960 is about 236.8747580192.

The spelling of 13290960 in words is "thirteen million, two hundred ninety thousand, nine hundred sixty".