13535760 has 120 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 3091200.

The previous prime is 13535759. The next prime is 13535773. The reversal of 13535760 is 6753531.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11185 + ... + 12335.

Almost surely, 2^13535760 is an apocalyptic number.

13535760 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 13535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008).

13535760 is an abundant number, since it is smaller than the sum of its proper divisors (35318256).

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

13535760 is a wasteful number, since it uses less digits than its factorization.

13535760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 13535760 is about 3679.0977154732. The cubic root of 13535760 is about 238.3202148821.

The spelling of 13535760 in words is "thirteen million, five hundred thirty-five thousand, seven hundred sixty".