11319792 has 60 divisors (see below), whose sum is σ = 32159400. Its totient is φ = 3428480.

The previous prime is 11319779. The next prime is 11319811. The reversal of 11319792 is 29791311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4834 + ... + 6782.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^11319792 is an apocalyptic number.

11319792 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 11319792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079700).

11319792 is an abundant number, since it is smaller than the sum of its proper divisors (20839608).

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

11319792 is a wasteful number, since it uses less digits than its factorization.

11319792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1965 counting only the distinct ones).

The product of its digits is 3402, while the sum is 33.

The square root of 11319792 is about 3364.4898573186. The cubic root of 11319792 is about 224.5326397683.

The spelling of 11319792 in words is "eleven million, three hundred nineteen thousand, seven hundred ninety-two".