13396960 has 96 divisors (see below), whose sum is σ = 34013952. Its totient is φ = 4976640.

The previous prime is 13396939. The next prime is 13396979. The reversal of 13396960 is 6969331.

13396960 is nontrivially palindromic in base 12.

13396960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 183484 + ... + 183556.

It is an arithmetic number, because the mean of its divisors is an integer number (354312).

Almost surely, 2^13396960 is an apocalyptic number.

13396960 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 13396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006976).

13396960 is an abundant number, since it is smaller than the sum of its proper divisors (20616992).

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

13396960 is a wasteful number, since it uses less digits than its factorization.

13396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 13396960 is about 3660.1857876343. The cubic root of 13396960 is about 237.5028106777.

The spelling of 13396960 in words is "thirteen million, three hundred ninety-six thousand, nine hundred sixty".