1116000 has 144 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 288000.

The previous prime is 1115993. The next prime is 1116001. The reversal of 1116000 is 6111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116001) by changing a digit.

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, 35985 + ... + 36015.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2^1116000 is an apocalyptic number.

1116000 is a gapful number since it is divisible by the number (10) 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 1116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044224).

1116000 is an abundant number, since it is smaller than the sum of its proper divisors (2972448).

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

1116000 is a wasteful number, since it uses less digits than its factorization.

1116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1116000 is about 1056.4090116995. The cubic root of 1116000 is about 103.7261037528.

The spelling of 1116000 in words is "one million, one hundred sixteen thousand".