13493760 has 160 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 3072000.

The previous prime is 13493759. The next prime is 13493771. The reversal of 13493760 is 6739431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 53635 + ... + 53885.

Almost surely, 2^13493760 is an apocalyptic number.

13493760 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 13493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

13493760 is an abundant number, since it is smaller than the sum of its proper divisors (36003072).

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

13493760 is an equidigital number, since it uses as much as digits as its factorization.

13493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13493760 is about 3673.3853595832. The cubic root of 13493760 is about 238.0734655392.

The spelling of 13493760 in words is "thirteen million, four hundred ninety-three thousand, seven hundred sixty".