13538880 has 112 divisors (see below), whose sum is σ = 47792640. Its totient is φ = 3608064.

The previous prime is 13538879. The next prime is 13538923. The reversal of 13538880 is 8883531.

It is a happy number.

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

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, 7857 + ... + 9423.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 2^13538880 is an apocalyptic number.

13538880 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 13538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896320).

13538880 is an abundant number, since it is smaller than the sum of its proper divisors (34253760).

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

13538880 is a wasteful number, since it uses less digits than its factorization.

13538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 13538880 is about 3679.5217080485. The cubic root of 13538880 is about 238.3385244548.

The spelling of 13538880 in words is "thirteen million, five hundred thirty-eight thousand, eight hundred eighty".