13524960 has 96 divisors (see below), whose sum is σ = 44876160. Its totient is φ = 3414528.

The previous prime is 13524947. The next prime is 13524971. The reversal of 13524960 is 6942531.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8379 + ... + 9861.

It is an arithmetic number, because the mean of its divisors is an integer number (467460).

Almost surely, 2^13524960 is an apocalyptic number.

13524960 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 13524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438080).

13524960 is an abundant number, since it is smaller than the sum of its proper divisors (31351200).

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

13524960 is a wasteful number, since it uses less digits than its factorization.

13524960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13524960 is about 3677.6296714052. The cubic root of 13524960 is about 238.2568138571.

The spelling of 13524960 in words is "thirteen million, five hundred twenty-four thousand, nine hundred sixty".