13385760 has 96 divisors (see below), whose sum is σ = 42819840. Its totient is φ = 3514368.

The previous prime is 13385759. The next prime is 13385761. The reversal of 13385760 is 6758331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13385759) and next prime (13385761).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13385761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37744 + ... + 38096.

It is an arithmetic number, because the mean of its divisors is an integer number (446040).

Almost surely, 2^13385760 is an apocalyptic number.

13385760 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 13385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409920).

13385760 is an abundant number, since it is smaller than the sum of its proper divisors (29434080).

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

13385760 is a wasteful number, since it uses less digits than its factorization.

13385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13385760 is about 3658.6554907507. The cubic root of 13385760 is about 237.4366072730.

The spelling of 13385760 in words is "thirteen million, three hundred eighty-five thousand, seven hundred sixty".