13509760 has 128 divisors (see below), whose sum is σ = 37454400. Its totient is φ = 4608000.

The previous prime is 13509757. The next prime is 13509803. The reversal of 13509760 is 6790531.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133710 + ... + 133810.

Almost surely, 2^13509760 is an apocalyptic number.

13509760 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 13509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18727200).

13509760 is an abundant number, since it is smaller than the sum of its proper divisors (23944640).

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

13509760 is a wasteful number, since it uses less digits than its factorization.

13509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 13509760 is about 3675.5625419791. The cubic root of 13509760 is about 238.1675255809.

The spelling of 13509760 in words is "thirteen million, five hundred nine thousand, seven hundred sixty".