11688540 has 24 divisors (see below), whose sum is σ = 32728080. Its totient is φ = 3116928.

The previous prime is 11688539. The next prime is 11688563. The reversal of 11688540 is 4588611.

11688540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97345 + ... + 97464.

It is an arithmetic number, because the mean of its divisors is an integer number (1363670).

Almost surely, 2^11688540 is an apocalyptic number.

11688540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11688540 is an abundant number, since it is smaller than the sum of its proper divisors (21039540).

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

11688540 is a wasteful number, since it uses less digits than its factorization.

11688540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194821 (or 194819 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 11688540 is about 3418.8506840750. The cubic root of 11688540 is about 226.9447231614.

It can be divided in two parts, 11 and 688540, that added together give a triangular number (688551 = T₁₁₇₃).

The spelling of 11688540 in words is "eleven million, six hundred eighty-eight thousand, five hundred forty".