11088792 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3093120.

The previous prime is 11088769. The next prime is 11088821. The reversal of 11088792 is 29788011.

It is a super-2 number, since 2×11088792² = 245922616038528, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30709 + ... + 31067.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^11088792 is an apocalyptic number.

11088792 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 11088792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11088792 is an abundant number, since it is smaller than the sum of its proper divisors (25199208).

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

11088792 is a wasteful number, since it uses less digits than its factorization.

11088792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

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

The square root of 11088792 is about 3329.9837837443. The cubic root of 11088792 is about 222.9948050564.

The spelling of 11088792 in words is "eleven million, eighty-eight thousand, seven hundred ninety-two".