1116416 has 54 divisors (see below), whose sum is σ = 2621430. Its totient is φ = 473088.

The previous prime is 1116371. The next prime is 1116419. The reversal of 1116416 is 6146111.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 313600 = 896^2 + 560^2 .

It is not an unprimeable number, because it can be changed into a prime (1116419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12500 + ... + 12588.

It is an arithmetic number, because the mean of its divisors is an integer number (48545).

2^1116416 is an apocalyptic number.

1116416 is a gapful number since it is divisible by the number (16) 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 1116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310715).

1116416 is an abundant number, since it is smaller than the sum of its proper divisors (1505014).

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

1116416 is an frugal number, since it uses more digits than its factorization.

1116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 1116416 is about 1056.6058867903. The cubic root of 1116416 is about 103.7389904609.

The spelling of 1116416 in words is "one million, one hundred sixteen thousand, four hundred sixteen".