13332960 has 144 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 3462144.

The previous prime is 13332923. The next prime is 13332973. The reversal of 13332960 is 6923331.

13332960 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67582 + ... + 67778.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 2^13332960 is an apocalyptic number.

13332960 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 13332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

13332960 is an abundant number, since it is smaller than the sum of its proper divisors (33369696).

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

13332960 is a wasteful number, since it uses less digits than its factorization.

13332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 13332960 is about 3651.4325955712. The cubic root of 13332960 is about 237.1240071006.

The spelling of 13332960 in words is "thirteen million, three hundred thirty-two thousand, nine hundred sixty".