13382880 has 144 divisors (see below), whose sum is σ = 49124880. Its totient is φ = 3053568.

The previous prime is 13382857. The next prime is 13382881. The reversal of 13382880 is 8828331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23236 + ... + 23804.

It is an arithmetic number, because the mean of its divisors is an integer number (341145).

Almost surely, 2^13382880 is an apocalyptic number.

13382880 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 13382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562440).

13382880 is an abundant number, since it is smaller than the sum of its proper divisors (35742000).

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

13382880 is a wasteful number, since it uses less digits than its factorization.

13382880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 13382880 is about 3658.2618823698. The cubic root of 13382880 is about 237.4195775718.

The spelling of 13382880 in words is "thirteen million, three hundred eighty-two thousand, eight hundred eighty".