11776920 has 128 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 2816000.

The previous prime is 11776907. The next prime is 11776927. The reversal of 11776920 is 2967711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11776927) 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 31 ways as a sum of consecutive naturals, for example, 46795 + ... + 47045.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 2^11776920 is an apocalyptic number.

11776920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11776920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

11776920 is an abundant number, since it is smaller than the sum of its proper divisors (27414120).

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

11776920 is a wasteful number, since it uses less digits than its factorization.

11776920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 11776920 is about 3431.7517392725. The cubic root of 11776920 is about 227.5152829567.

The spelling of 11776920 in words is "eleven million, seven hundred seventy-six thousand, nine hundred twenty".