11688480 has 72 divisors (see below), whose sum is σ = 39891852. Its totient is φ = 3116544.

The previous prime is 11688473. The next prime is 11688499. The reversal of 11688480 is 8488611.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 318096 = 3372^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2619 + ... + 5498.

Almost surely, 2^11688480 is an apocalyptic number.

11688480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11688480 is an abundant number, since it is smaller than the sum of its proper divisors (28203372).

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

11688480 is a wasteful number, since it uses less digits than its factorization.

11688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8127 counting only the distinct ones).

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

The square root of 11688480 is about 3418.8419091850. The cubic root of 11688480 is about 226.9443348407.

It can be divided in two parts, 116884 and 80, that added together give a square (116964 = 342²).

The spelling of 11688480 in words is "eleven million, six hundred eighty-eight thousand, four hundred eighty".