11731680 has 72 divisors (see below), whose sum is σ = 40039272. Its totient is φ = 3128064.

The previous prime is 11731667. The next prime is 11731691. The reversal of 11731680 is 8613711.

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

It is a congruent number.

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, 2634 + ... + 5513.

It is an arithmetic number, because the mean of its divisors is an integer number (556101).

Almost surely, 2^11731680 is an apocalyptic number.

11731680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11731680 is an abundant number, since it is smaller than the sum of its proper divisors (28307592).

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

11731680 is a wasteful number, since it uses less digits than its factorization.

11731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11731680 is about 3425.1540111358. The cubic root of 11731680 is about 227.2235824890.

The spelling of 11731680 in words is "eleven million, seven hundred thirty-one thousand, six hundred eighty".