13378560 has 176 divisors, whose sum is σ = 46769856. Its totient is φ = 3244032.

The previous prime is 13378553. The next prime is 13378579. The reversal of 13378560 is 6587331.

It is a happy number.

It is a congruent number.

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, 199647 + ... + 199713.

Almost surely, 2^13378560 is an apocalyptic number.

13378560 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 13378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384928).

13378560 is an abundant number, since it is smaller than the sum of its proper divisors (33391296).

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

13378560 is a wasteful number, since it uses less digits than its factorization.

13378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13378560 is about 3657.6713903794. The cubic root of 13378560 is about 237.3940284385.

The spelling of 13378560 in words is "thirteen million, three hundred seventy-eight thousand, five hundred sixty".