11724660 has 72 divisors (see below), whose sum is σ = 36265320. Its totient is φ = 3065088.

The previous prime is 11724619. The next prime is 11724677. The reversal of 11724660 is 6642711.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 6022116 = 2388^2 + 2454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8926 + ... + 10154.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 2^11724660 is an apocalyptic number.

11724660 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 11724660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132660).

11724660 is an abundant number, since it is smaller than the sum of its proper divisors (24540660).

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

11724660 is a wasteful number, since it uses less digits than its factorization.

11724660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11724660 is about 3424.1290863517. The cubic root of 11724660 is about 227.1782514476.

It can be divided in two parts, 1172 and 4660, that added together give a cube (5832 = 18³).

The spelling of 11724660 in words is "eleven million, seven hundred twenty-four thousand, six hundred sixty".