1033216 has 22 divisors (see below), whose sum is σ = 2067470. Its totient is φ = 516096.

The previous prime is 1033189. The next prime is 1033223. The reversal of 1033216 is 6123301.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 230400 = 896^2 + 480^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1033216.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 520 + ... + 1528.

2^1033216 is an apocalyptic number.

1033216 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 1033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033735).

1033216 is an abundant number, since it is smaller than the sum of its proper divisors (1034254).

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

1033216 is an equidigital number, since it uses as much as digits as its factorization.

1033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1033216 is about 1016.4723311532. The cubic root of 1033216 is about 101.0951624091.

Adding to 1033216 its reverse (6123301), we get a palindrome (7156517).

The spelling of 1033216 in words is "one million, thirty-three thousand, two hundred sixteen".