12724560 has 160 divisors (see below), whose sum is σ = 45175680. Its totient is φ = 3290112.

The previous prime is 12724553. The next prime is 12724561. The reversal of 12724560 is 6542721.

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 (12724561) 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, 92812 + ... + 92948.

It is an arithmetic number, because the mean of its divisors is an integer number (282348).

Almost surely, 2^12724560 is an apocalyptic number.

12724560 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 12724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587840).

12724560 is an abundant number, since it is smaller than the sum of its proper divisors (32451120).

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

12724560 is a wasteful number, since it uses less digits than its factorization.

12724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12724560 is about 3567.1501229973. The cubic root of 12724560 is about 233.4609551278.

It can be divided in two parts, 1272 and 4560, that added together give a cube (5832 = 18³).

The spelling of 12724560 in words is "twelve million, seven hundred twenty-four thousand, five hundred sixty".