11792196 has 96 divisors (see below), whose sum is σ = 33962880. Its totient is φ = 3514752.

The previous prime is 11792119. The next prime is 11792197. The reversal of 11792196 is 69129711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11792196.

It is not an unprimeable number, because it can be changed into a prime (11792197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51835 + ... + 52061.

It is an arithmetic number, because the mean of its divisors is an integer number (353780).

Almost surely, 2^11792196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11792196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981440).

11792196 is an abundant number, since it is smaller than the sum of its proper divisors (22170684).

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

11792196 is a wasteful number, since it uses less digits than its factorization.

11792196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11792196 is about 3433.9767034737. The cubic root of 11792196 is about 227.6136114905.

It can be divided in two parts, 1179 and 2196, that added together give a cube (3375 = 15³).

The spelling of 11792196 in words is "eleven million, seven hundred ninety-two thousand, one hundred ninety-six".