13978008 has 160 divisors (see below), whose sum is σ = 44692560. Its totient is φ = 4043520.

The previous prime is 13977989. The next prime is 13978021. The reversal of 13978008 is 80087931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263710 + ... + 263762.

Almost surely, 2^13978008 is an apocalyptic number.

13978008 is a gapful number since it is divisible by the number (18) 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 13978008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346280).

13978008 is an abundant number, since it is smaller than the sum of its proper divisors (30714552).

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

13978008 is a wasteful number, since it uses less digits than its factorization.

13978008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13978008 is about 3738.7174271400. The cubic root of 13978008 is about 240.8879606396.

The spelling of 13978008 in words is "thirteen million, nine hundred seventy-eight thousand, eight".