13492960 has 72 divisors (see below), whose sum is σ = 34587000. Its totient is φ = 4972032.

The previous prime is 13492937. The next prime is 13492961. The reversal of 13492960 is 6929431.

13492960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13492961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26791 + ... + 27289.

It is an arithmetic number, because the mean of its divisors is an integer number (480375).

Almost surely, 2^13492960 is an apocalyptic number.

13492960 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 13492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293500).

13492960 is an abundant number, since it is smaller than the sum of its proper divisors (21094040).

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

13492960 is a wasteful number, since it uses less digits than its factorization.

13492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 13492960 is about 3673.2764665895. The cubic root of 13492960 is about 238.0687605858.

The spelling of 13492960 in words is "thirteen million, four hundred ninety-two thousand, nine hundred sixty".