13057660 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3974400.

The previous prime is 13057657. The next prime is 13057661. The reversal of 13057660 is 6675031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057661) 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, 93871 + ... + 94009.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^13057660 is an apocalyptic number.

13057660 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 13057660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13057660 is an abundant number, since it is smaller than the sum of its proper divisors (21940100).

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

13057660 is a wasteful number, since it uses less digits than its factorization.

13057660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 13057660 is about 3613.5384320635. The cubic root of 13057660 is about 235.4805918586.

The spelling of 13057660 in words is "thirteen million, fifty-seven thousand, six hundred sixty".