13977760 has 48 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 5550336.

The previous prime is 13977751. The next prime is 13977763. The reversal of 13977760 is 6777931.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13977763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31621 + ... + 32059.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^13977760 is an apocalyptic number.

13977760 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 13977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

13977760 is an abundant number, since it is smaller than the sum of its proper divisors (19286240).

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

13977760 is a wasteful number, since it uses less digits than its factorization.

13977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 40.

The square root of 13977760 is about 3738.6842605387. The cubic root of 13977760 is about 240.8865360072.

The spelling of 13977760 in words is "thirteen million, nine hundred seventy-seven thousand, seven hundred sixty".