11188992 has 72 divisors (see below), whose sum is σ = 31567536. Its totient is φ = 3506176.

The previous prime is 11188979. The next prime is 11188997. The reversal of 11188992 is 29988111.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 11188992.

It is not an unprimeable number, because it can be changed into a prime (11188997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12628 + ... + 13484.

It is an arithmetic number, because the mean of its divisors is an integer number (438438).

Almost surely, 2^11188992 is an apocalyptic number.

11188992 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 11188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783768).

11188992 is an abundant number, since it is smaller than the sum of its proper divisors (20378544).

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

11188992 is an equidigital number, since it uses as much as digits as its factorization.

11188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its digits is 10368, while the sum is 39.

The square root of 11188992 is about 3344.9950672609. The cubic root of 11188992 is about 223.6644636273.

The spelling of 11188992 in words is "eleven million, one hundred eighty-eight thousand, nine hundred ninety-two".