11688040 has 128 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3504384.

The previous prime is 11687989. The next prime is 11688043. The reversal of 11688040 is 4088611.

It is a super-2 number, since 2×11688040² = 273220558083200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688043) 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, 615151 + ... + 615169.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 2^11688040 is an apocalyptic number.

11688040 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 11688040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

11688040 is an abundant number, since it is smaller than the sum of its proper divisors (22583960).

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

11688040 is a wasteful number, since it uses less digits than its factorization.

11688040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11688040 is about 3418.7775593039. Note that the first 3 decimals coincide. The cubic root of 11688040 is about 226.9414871148.

The spelling of 11688040 in words is "eleven million, six hundred eighty-eight thousand, forty".