11955680 has 48 divisors (see below), whose sum is σ = 30817584. Its totient is φ = 4346880.

The previous prime is 11955679. The next prime is 11955683. The reversal of 11955680 is 8655911.

It is a self number, because there is not a number n which added to its sum of digits gives 11955680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11955683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1637 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (642033).

Almost surely, 2^11955680 is an apocalyptic number.

11955680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11955680 is an abundant number, since it is smaller than the sum of its proper divisors (18861904).

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

11955680 is a wasteful number, since it uses less digits than its factorization.

11955680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 11955680 is about 3457.6986566212. The cubic root of 11955680 is about 228.6606467186.

The spelling of 11955680 in words is "eleven million, nine hundred fifty-five thousand, six hundred eighty".