11792096 has 48 divisors (see below), whose sum is σ = 24449040. Its totient is φ = 5591040.

The previous prime is 11792089. The next prime is 11792111. The reversal of 11792096 is 69029711.

It is a congruent number.

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, 89951 + ... + 90081.

It is an arithmetic number, because the mean of its divisors is an integer number (509355).

Almost surely, 2^11792096 is an apocalyptic number.

11792096 is a gapful number since it is divisible by the number (16) 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 11792096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224520).

11792096 is an abundant number, since it is smaller than the sum of its proper divisors (12656944).

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

11792096 is a wasteful number, since it uses less digits than its factorization.

11792096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 11792096 is about 3433.9621430645. The cubic root of 11792096 is about 227.6129680869.

It can be divided in two parts, 1179 and 2096, that multiplied together give a square (2471184 = 1572²).

The spelling of 11792096 in words is "eleven million, seven hundred ninety-two thousand, ninety-six".