13872880 has 60 divisors (see below), whose sum is σ = 37531080. Its totient is φ = 4755072.

The previous prime is 13872877. The next prime is 13872889. The reversal of 13872880 is 8827831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13872889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2151 + ... + 5689.

It is an arithmetic number, because the mean of its divisors is an integer number (625518).

Almost surely, 2^13872880 is an apocalyptic number.

13872880 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 13872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765540).

13872880 is an abundant number, since it is smaller than the sum of its proper divisors (23658200).

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

13872880 is a wasteful number, since it uses less digits than its factorization.

13872880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 13872880 is about 3724.6315253995. The cubic root of 13872880 is about 240.2825376252.

The spelling of 13872880 in words is "thirteen million, eight hundred seventy-two thousand, eight hundred eighty".