11792424 has 64 divisors (see below), whose sum is σ = 35683200. Its totient is φ = 3170304.

The previous prime is 11792419. The next prime is 11792467. The reversal of 11792424 is 42429711.

It is a super-2 number, since 2×11792424² = 278122527591552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11792391 and 11792400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 4920.

It is an arithmetic number, because the mean of its divisors is an integer number (557550).

Almost surely, 2^11792424 is an apocalyptic number.

11792424 is a gapful number since it is divisible by the number (14) 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 11792424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841600).

11792424 is an abundant number, since it is smaller than the sum of its proper divisors (23890776).

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

11792424 is a wasteful number, since it uses less digits than its factorization.

11792424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4158 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11792424 is about 3434.0099009758. The cubic root of 11792424 is about 227.6150784372.

The spelling of 11792424 in words is "eleven million, seven hundred ninety-two thousand, four hundred twenty-four".