13378320 has 120 divisors (see below), whose sum is σ = 47615256. Its totient is φ = 3354624.

The previous prime is 13378319. The next prime is 13378327. The reversal of 13378320 is 2387331.

13378320 is a `hidden beast` number, since 1 + 337 + 8 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 6471936 = 2628^2 + 2544^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×13378320³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13378327) 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, 11694 + ... + 12786.

Almost surely, 2^13378320 is an apocalyptic number.

13378320 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 13378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23807628).

13378320 is an abundant number, since it is smaller than the sum of its proper divisors (34236936).

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

13378320 is a wasteful number, since it uses less digits than its factorization.

13378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13378320 is about 3657.6385824737. The cubic root of 13378320 is about 237.3926088810.

The spelling of 13378320 in words is "thirteen million, three hundred seventy-eight thousand, three hundred twenty".