11785920 has 56 divisors (see below), whose sum is σ = 37423344. Its totient is φ = 3142656.

The previous prime is 11785889. The next prime is 11785933. The reversal of 11785920 is 2958711.

11785920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5179 + ... + 7098.

It is an arithmetic number, because the mean of its divisors is an integer number (668274).

Almost surely, 2^11785920 is an apocalyptic number.

11785920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11785920 is an abundant number, since it is smaller than the sum of its proper divisors (25637424).

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

11785920 is a wasteful number, since it uses less digits than its factorization.

11785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12297 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11785920 is about 3433.0627725109. The cubic root of 11785920 is about 227.5732244265.

The spelling of 11785920 in words is "eleven million, seven hundred eighty-five thousand, nine hundred twenty".