13872960 has 84 divisors (see below), whose sum is σ = 47727108. Its totient is φ = 3698688.

The previous prime is 13872959. The next prime is 13872973. The reversal of 13872960 is 6927831.

13872960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 10969344 = 1704^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472 + ... + 5288.

Almost surely, 2^13872960 is an apocalyptic number.

13872960 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 13872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863554).

13872960 is an abundant number, since it is smaller than the sum of its proper divisors (33854148).

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

13872960 is a wasteful number, since it uses less digits than its factorization.

13872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13872960 is about 3724.6422647014. The cubic root of 13872960 is about 240.2829994992.

The spelling of 13872960 in words is "thirteen million, eight hundred seventy-two thousand, nine hundred sixty".