1082016 has 108 divisors (see below), whose sum is σ = 3520062. Its totient is φ = 313344.

The previous prime is 1081981. The next prime is 1082017. The reversal of 1082016 is 6102801.

It can be written as a sum of positive squares in 3 ways, for example, as 992016 + 90000 = 996^2 + 300^2 .

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1082016.

It is not an unprimeable number, because it can be changed into a prime (1082017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63640 + ... + 63656.

2^1082016 is an apocalyptic number.

1082016 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 1082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760031).

1082016 is an abundant number, since it is smaller than the sum of its proper divisors (2438046).

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

1082016 is a wasteful number, since it uses less digits than its factorization.

1082016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1082016 is about 1040.1999807729. The cubic root of 1082016 is about 102.6623562216.

Adding to 1082016 its reverse (6102801), we get a palindrome (7184817).

The spelling of 1082016 in words is "one million, eighty-two thousand, sixteen".