1116288 has 128 divisors (see below), whose sum is σ = 3672000. Its totient is φ = 331776.

The previous prime is 1116281. The next prime is 1116289. The reversal of 1116288 is 8826111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (1116281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58743 + ... + 58761.

2^1116288 is an apocalyptic number.

1116288 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 1116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836000).

1116288 is an abundant number, since it is smaller than the sum of its proper divisors (2555712).

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

1116288 is a wasteful number, since it uses less digits than its factorization.

1116288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1116288 is about 1056.5453137466. The cubic root of 1116288 is about 103.7350256610.

The spelling of 1116288 in words is "one million, one hundred sixteen thousand, two hundred eighty-eight".