13057360 has 40 divisors (see below), whose sum is σ = 32147496. Its totient is φ = 4915200.

The previous prime is 13057339. The next prime is 13057361. The reversal of 13057360 is 6375031.

It is a happy number.

13057360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4343056 + 8714304 = 2084^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3441 + ... + 6160.

Almost surely, 2^13057360 is an apocalyptic number.

13057360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13057360 is an abundant number, since it is smaller than the sum of its proper divisors (19090136).

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

13057360 is a wasteful number, since it uses less digits than its factorization.

13057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9631 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 13057360 is about 3613.4969212662. The cubic root of 13057360 is about 235.4787884544.

The spelling of 13057360 in words is "thirteen million, fifty-seven thousand, three hundred sixty".