11685120 has 144 divisors (see below), whose sum is σ = 39735360. Its totient is φ = 2916352.

The previous prime is 11685101. The next prime is 11685151. The reversal of 11685120 is 2158611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 65191 + ... + 65369.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 2^11685120 is an apocalyptic number.

11685120 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 11685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19867680).

11685120 is an abundant number, since it is smaller than the sum of its proper divisors (28050240).

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

11685120 is a wasteful number, since it uses less digits than its factorization.

11685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11685120 is about 3418.3504793979. The cubic root of 11685120 is about 226.9225867593.

The spelling of 11685120 in words is "eleven million, six hundred eighty-five thousand, one hundred twenty".