13378896 has 60 divisors (see below), whose sum is σ = 38170548. Its totient is φ = 4372992.

The previous prime is 13378873. The next prime is 13378903. The reversal of 13378896 is 69887331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 9217296 = 2040^2 + 3036^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6756 + ... + 8508.

Almost surely, 2^13378896 is an apocalyptic number.

13378896 is a gapful number since it is divisible by the number (16) 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 13378896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085274).

13378896 is an abundant number, since it is smaller than the sum of its proper divisors (24791652).

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

13378896 is a wasteful number, since it uses less digits than its factorization.

13378896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1811 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13378896 is about 3657.7173209531. The cubic root of 13378896 is about 237.3960157906.

The spelling of 13378896 in words is "thirteen million, three hundred seventy-eight thousand, eight hundred ninety-six".