12713580 has 72 divisors (see below), whose sum is σ = 42076944. Its totient is φ = 3081600.

The previous prime is 12713579. The next prime is 12713581. The reversal of 12713580 is 8531721.

12713580 is a `hidden beast` number, since 12 + 71 + 3 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (12713579) and next prime (12713581).

It is not an unprimeable number, because it can be changed into a prime (12713581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231 + ... + 5190.

It is an arithmetic number, because the mean of its divisors is an integer number (584402).

Almost surely, 2^12713580 is an apocalyptic number.

12713580 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 12713580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038472).

12713580 is an abundant number, since it is smaller than the sum of its proper divisors (29363364).

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

12713580 is a wasteful number, since it uses less digits than its factorization.

12713580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12713580 is about 3565.6107471231. The cubic root of 12713580 is about 233.3937847905.

It can be divided in two parts, 1271 and 3580, that added together give a triangular number (4851 = T₉₈).

The spelling of 12713580 in words is "twelve million, seven hundred thirteen thousand, five hundred eighty".