13378824 has 64 divisors (see below), whose sum is σ = 38793600. Its totient is φ = 4264128.

The previous prime is 13378817. The next prime is 13378837. The reversal of 13378824 is 42887331.

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, 3622 + ... + 6314.

It is an arithmetic number, because the mean of its divisors is an integer number (606150).

Almost surely, 2^13378824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13378824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396800).

13378824 is an abundant number, since it is smaller than the sum of its proper divisors (25414776).

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

13378824 is a wasteful number, since it uses less digits than its factorization.

13378824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2721 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13378824 is about 3657.7074787358. The cubic root of 13378824 is about 237.3955899322.

The spelling of 13378824 in words is "thirteen million, three hundred seventy-eight thousand, eight hundred twenty-four".