1119888 has 120 divisors (see below), whose sum is σ = 3946176. Its totient is φ = 288000.

The previous prime is 1119871. The next prime is 1119907. The reversal of 1119888 is 8889111.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11038 + ... + 11138.

2^1119888 is an apocalyptic number.

1119888 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 1119888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973088).

1119888 is an abundant number, since it is smaller than the sum of its proper divisors (2826288).

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

1119888 is a wasteful number, since it uses less digits than its factorization.

1119888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its digits is 4608, while the sum is 36.

The square root of 1119888 is about 1058.2476080767. The cubic root of 1119888 is about 103.8464202589.

It can be divided in two parts, 111 and 9888, that added together give a palindrome (9999).

The spelling of 1119888 in words is "one million, one hundred nineteen thousand, eight hundred eighty-eight".