1002816 has 42 divisors (see below), whose sum is σ = 2876042. Its totient is φ = 334080.

The previous prime is 1002809. The next prime is 1002817. The reversal of 1002816 is 6182001.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 484416 = 720^2 + 696^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002817) 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, 295 + ... + 1446.

2^1002816 is an apocalyptic number.

1002816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1002816 is an abundant number, since it is smaller than the sum of its proper divisors (1873226).

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

1002816 is a wasteful number, since it uses less digits than its factorization.

1002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1746 counting only the distinct ones).

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

The square root of 1002816 is about 1001.4070101612. The cubic root of 1002816 is about 100.0937786947.

Adding to 1002816 its reverse (6182001), we get a palindrome (7184817).

It can be divided in two parts, 100 and 2816, that added together give a square (2916 = 54²).

The spelling of 1002816 in words is "one million, two thousand, eight hundred sixteen".