13985280 has 120 divisors (see below), whose sum is σ = 48514752. Its totient is φ = 3723264.

The previous prime is 13985263. The next prime is 13985281. The reversal of 13985280 is 8258931.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22737 + ... + 23343.

Almost surely, 2^13985280 is an apocalyptic number.

13985280 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 13985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257376).

13985280 is an abundant number, since it is smaller than the sum of its proper divisors (34529472).

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

13985280 is an equidigital number, since it uses as much as digits as its factorization.

13985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13985280 is about 3739.6898267102. The cubic root of 13985280 is about 240.9297270477.

The spelling of 13985280 in words is "thirteen million, nine hundred eighty-five thousand, two hundred eighty".