11520684 has 96 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 3281040.

The previous prime is 11520683. The next prime is 11520697. The reversal of 11520684 is 48602511.

11520684 = 60³ + 61³ + ... + 87³.

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 (11520683) 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, 36889 + ... + 37199.

It is an arithmetic number, because the mean of its divisors is an integer number (364000).

Almost surely, 2^11520684 is an apocalyptic number.

11520684 is a gapful number since it is divisible by the number (14) 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 11520684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

11520684 is an abundant number, since it is smaller than the sum of its proper divisors (23423316).

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

11520684 is a wasteful number, since it uses less digits than its factorization.

11520684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11520684 is about 3394.2133109161. The cubic root of 11520684 is about 225.8531167641.

The spelling of 11520684 in words is "eleven million, five hundred twenty thousand, six hundred eighty-four".