11688705 has 120 divisors (see below), whose sum is σ = 26484480. Its totient is φ = 4898880.

The previous prime is 11688679. The next prime is 11688709. The reversal of 11688705 is 50788611.

It is not a de Polignac number, because 11688705 - 2⁸ = 11688449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11688705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688709) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 377040 + ... + 377070.

It is an arithmetic number, because the mean of its divisors is an integer number (220704).

Almost surely, 2^11688705 is an apocalyptic number.

11688705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11688705 is an abundant number, since it is smaller than the sum of its proper divisors (14795775).

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

11688705 is a wasteful number, since it uses less digits than its factorization.

11688705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 11688705 is about 3418.8748149062. The cubic root of 11688705 is about 226.9457910365.

The spelling of 11688705 in words is "eleven million, six hundred eighty-eight thousand, seven hundred five".