13601280 has 320 divisors, whose sum is σ = 56567808. Its totient is φ = 2703360.

The previous prime is 13601279. The next prime is 13601297. The reversal of 13601280 is 8210631.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591349 + ... + 591371.

Almost surely, 2^13601280 is an apocalyptic number.

13601280 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 13601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904).

13601280 is an abundant number, since it is smaller than the sum of its proper divisors (42966528).

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

13601280 is a wasteful number, since it uses less digits than its factorization.

13601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13601280 is about 3687.9913232002. The cubic root of 13601280 is about 238.7041266725.

The spelling of 13601280 in words is "thirteen million, six hundred one thousand, two hundred eighty".