11685520 has 120 divisors (see below), whose sum is σ = 34604928. Its totient is φ = 3628800.

The previous prime is 11685517. The next prime is 11685523. The reversal of 11685520 is 2558611.

It is an interprime number because it is at equal distance from previous prime (11685517) and next prime (11685523).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11685523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42985 + ... + 43255.

Almost surely, 2^11685520 is an apocalyptic number.

11685520 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 11685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464).

11685520 is an abundant number, since it is smaller than the sum of its proper divisors (22919408).

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

11685520 is a wasteful number, since it uses less digits than its factorization.

11685520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 11685520 is about 3418.4089866486. The cubic root of 11685520 is about 226.9251760352.

The spelling of 11685520 in words is "eleven million, six hundred eighty-five thousand, five hundred twenty".