11724960 has 96 divisors (see below), whose sum is σ = 39795840. Its totient is φ = 2884608.

The previous prime is 11724941. The next prime is 11724971. The reversal of 11724960 is 6942711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5301 + ... + 7179.

It is an arithmetic number, because the mean of its divisors is an integer number (414540).

Almost surely, 2^11724960 is an apocalyptic number.

11724960 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 11724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897920).

11724960 is an abundant number, since it is smaller than the sum of its proper divisors (28070880).

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

11724960 is a wasteful number, since it uses less digits than its factorization.

11724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 11724960 is about 3424.1728928312. The cubic root of 11724960 is about 227.1801890416.

The spelling of 11724960 in words is "eleven million, seven hundred twenty-four thousand, nine hundred sixty".