11792088 has 128 divisors (see below), whose sum is σ = 40896000. Its totient is φ = 3058560.

The previous prime is 11792069. The next prime is 11792089. The reversal of 11792088 is 88029711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792089) 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, 16278 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (319500).

Almost surely, 2^11792088 is an apocalyptic number.

11792088 is a gapful number since it is divisible by the number (18) 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 11792088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20448000).

11792088 is an abundant number, since it is smaller than the sum of its proper divisors (29103912).

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

11792088 is a wasteful number, since it uses less digits than its factorization.

11792088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11792088 is about 3433.9609782291. The cubic root of 11792088 is about 227.6129166144.

The spelling of 11792088 in words is "eleven million, seven hundred ninety-two thousand, eighty-eight".