13978080 has 144 divisors (see below), whose sum is σ = 50594544. Its totient is φ = 3502080.

The previous prime is 13978057. The next prime is 13978099. The reversal of 13978080 is 8087931.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 24195 + ... + 24765.

It is an arithmetic number, because the mean of its divisors is an integer number (351351).

Almost surely, 2^13978080 is an apocalyptic number.

13978080 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 13978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297272).

13978080 is an abundant number, since it is smaller than the sum of its proper divisors (36616464).

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

13978080 is a wasteful number, since it uses less digits than its factorization.

13978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

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

The square root of 13978080 is about 3738.7270560981. The cubic root of 13978080 is about 240.8883742393. Note that the first 3 decimals are identical.

The spelling of 13978080 in words is "thirteen million, nine hundred seventy-eight thousand, eighty".