13580760 has 32 divisors (see below), whose sum is σ = 40742640. Its totient is φ = 3621504.

The previous prime is 13580753. The next prime is 13580767. The reversal of 13580760 is 6708531.

It is an interprime number because it is at equal distance from previous prime (13580753) and next prime (13580767).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580767) 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, 56467 + ... + 56706.

Almost surely, 2^13580760 is an apocalyptic number.

13580760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13580760 is an abundant number, since it is smaller than the sum of its proper divisors (27161880).

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

13580760 is a wasteful number, since it uses less digits than its factorization.

13580760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113187 (or 113183 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13580760 is about 3685.2082709122. The cubic root of 13580760 is about 238.5840234169.

The spelling of 13580760 in words is "thirteen million, five hundred eighty thousand, seven hundred sixty".