13377980 has 144 divisors (see below), whose sum is σ = 38265696. Its totient is φ = 3870720.

The previous prime is 13377977. The next prime is 13378003. The reversal of 13377980 is 8977331.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 183224 + ... + 183296.

It is an arithmetic number, because the mean of its divisors is an integer number (265734).

Almost surely, 2^13377980 is an apocalyptic number.

13377980 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 13377980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132848).

13377980 is an abundant number, since it is smaller than the sum of its proper divisors (24887716).

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

13377980 is a wasteful number, since it uses less digits than its factorization.

13377980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 13377980 is about 3657.5921041035. The cubic root of 13377980 is about 237.3905978121.

The spelling of 13377980 in words is "thirteen million, three hundred seventy-seven thousand, nine hundred eighty".