11811680 has 24 divisors (see below), whose sum is σ = 27905472. Its totient is φ = 4724608.

The previous prime is 11811659. The next prime is 11811697. The reversal of 11811680 is 8611811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36752 + ... + 37071.

It is an arithmetic number, because the mean of its divisors is an integer number (1162728).

Almost surely, 2^11811680 is an apocalyptic number.

11811680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11811680 is an abundant number, since it is smaller than the sum of its proper divisors (16093792).

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

11811680 is an equidigital number, since it uses as much as digits as its factorization.

11811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73838 (or 73830 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 26.

The square root of 11811680 is about 3436.8124766999. The cubic root of 11811680 is about 227.7389029212.

The spelling of 11811680 in words is "eleven million, eight hundred eleven thousand, six hundred eighty".