11779992 has 160 divisors (see below), whose sum is σ = 39204000. Its totient is φ = 3302208.

The previous prime is 11779987. The next prime is 11780011. The reversal of 11779992 is 29997711.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222238 + ... + 222290.

It is an arithmetic number, because the mean of its divisors is an integer number (245025).

Almost surely, 2^11779992 is an apocalyptic number.

11779992 is a gapful number since it is divisible by the number (12) 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 11779992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602000).

11779992 is an abundant number, since it is smaller than the sum of its proper divisors (27424008).

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

11779992 is an equidigital number, since it uses as much as digits as its factorization.

11779992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its digits is 71442, while the sum is 45.

The square root of 11779992 is about 3432.1992949128. The cubic root of 11779992 is about 227.5350636290.

The spelling of 11779992 in words is "eleven million, seven hundred seventy-nine thousand, nine hundred ninety-two".