13272960 has 128 divisors (see below), whose sum is σ = 43868160. Its totient is φ = 3409920.

The previous prime is 13272947. The next prime is 13272967. The reversal of 13272960 is 6927231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13272967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59409 + ... + 59631.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 2^13272960 is an apocalyptic number.

13272960 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 13272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

13272960 is an abundant number, since it is smaller than the sum of its proper divisors (30595200).

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

13272960 is a wasteful number, since it uses less digits than its factorization.

13272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13272960 is about 3643.2073781216. The cubic root of 13272960 is about 236.7677762336.

It can be divided in two parts, 1 and 3272960, that added together give a triangular number (3272961 = T₂₅₅₈).

The spelling of 13272960 in words is "thirteen million, two hundred seventy-two thousand, nine hundred sixty".