13307760 has 160 divisors (see below), whose sum is σ = 47050560. Its totient is φ = 3456000.

The previous prime is 13307737. The next prime is 13307761. The reversal of 13307760 is 6770331.

13307760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131710 + ... + 131810.

It is an arithmetic number, because the mean of its divisors is an integer number (294066).

Almost surely, 2^13307760 is an apocalyptic number.

13307760 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 13307760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525280).

13307760 is an abundant number, since it is smaller than the sum of its proper divisors (33742800).

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

13307760 is a wasteful number, since it uses less digits than its factorization.

13307760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 13307760 is about 3647.9802631045. The cubic root of 13307760 is about 236.9745205744.

The spelling of 13307760 in words is "thirteen million, three hundred seven thousand, seven hundred sixty".