11688840 has 128 divisors (see below), whose sum is σ = 39744000. Its totient is φ = 3055104.

The previous prime is 11688839. The next prime is 11688863. The reversal of 11688840 is 4888611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11688795 and 11688804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85252 + ... + 85388.

It is an arithmetic number, because the mean of its divisors is an integer number (310500).

Almost surely, 2^11688840 is an apocalyptic number.

11688840 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 11688840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872000).

11688840 is an abundant number, since it is smaller than the sum of its proper divisors (28055160).

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

11688840 is a wasteful number, since it uses less digits than its factorization.

11688840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 11688840 is about 3418.8945581869. The cubic root of 11688840 is about 226.9466647451.

The spelling of 11688840 in words is "eleven million, six hundred eighty-eight thousand, eight hundred forty".