11688180 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 2512896.

The previous prime is 11688169. The next prime is 11688181. The reversal of 11688180 is 8188611.

11688180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11688180² = 273227103424800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688181) 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, 6322 + ... + 7958.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^11688180 is an apocalyptic number.

11688180 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 11688180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

11688180 is an abundant number, since it is smaller than the sum of its proper divisors (27938316).

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

11688180 is a wasteful number, since it uses less digits than its factorization.

11688180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 11688180 is about 3418.7980343975. The cubic root of 11688180 is about 226.9423932172.

The spelling of 11688180 in words is "eleven million, six hundred eighty-eight thousand, one hundred eighty".