1112616 has 80 divisors (see below), whose sum is σ = 3332340. Its totient is φ = 345600.

The previous prime is 1112611. The next prime is 1112623. The reversal of 1112616 is 6162111.

It can be written as a sum of positive squares in 2 ways, for example, as 910116 + 202500 = 954^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10966 + ... + 11066.

2^1112616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666170).

1112616 is an abundant number, since it is smaller than the sum of its proper divisors (2219724).

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

1112616 is a wasteful number, since it uses less digits than its factorization.

1112616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1112616 is about 1054.8061433268. The cubic root of 1112616 is about 103.6211561670.

Adding to 1112616 its reverse (6162111), we get a palindrome (7274727).

It can be divided in two parts, 1112 and 616, that added together give a cube (1728 = 12³).

The spelling of 1112616 in words is "one million, one hundred twelve thousand, six hundred sixteen".