11791920 has 80 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 2694912.

The previous prime is 11791883. The next prime is 11791943. The reversal of 11791920 is 2919711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1830 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^11791920 is an apocalyptic number.

11791920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11791920 is an abundant number, since it is smaller than the sum of its proper divisors (29991120).

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

11791920 is a wasteful number, since it uses less digits than its factorization.

11791920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 11791920 is about 3433.9365165943. The cubic root of 11791920 is about 227.6118356876.

The spelling of 11791920 in words is "eleven million, seven hundred ninety-one thousand, nine hundred twenty".