13248960 has 112 divisors (see below), whose sum is σ = 43318176. Its totient is φ = 3428352.

The previous prime is 13248959. The next prime is 13248973. The reversal of 13248960 is 6984231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 35334 + ... + 35706.

Almost surely, 2^13248960 is an apocalyptic number.

13248960 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 13248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21659088).

13248960 is an abundant number, since it is smaller than the sum of its proper divisors (30069216).

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

13248960 is a wasteful number, since it uses less digits than its factorization.

13248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13248960 is about 3639.9120868505. The cubic root of 13248960 is about 236.6249832912.

The spelling of 13248960 in words is "thirteen million, two hundred forty-eight thousand, nine hundred sixty".