820944 has 30 divisors (see below), whose sum is σ = 2297906. Its totient is φ = 273600.

The previous prime is 820927. The next prime is 820957. The reversal of 820944 is 449028.

It can be written as a sum of positive squares in only one way, i.e., 788544 + 32400 = 888^2 + 180^2 .

It is a super-2 number, since 2×820944² = 1347898102272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820944.

It is an unprimeable number.

820944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2707 + ... + 2994.

2⁸²⁰⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

820944 is an abundant number, since it is smaller than the sum of its proper divisors (1476962).

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

820944 is a wasteful number, since it uses less digits than its factorization.

820944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 820944 is about 906.0596006886. The cubic root of 820944 is about 93.6349201284.

It can be divided in two parts, 820 and 944, that added together give a square (1764 = 42²).

The spelling of 820944 in words is "eight hundred twenty thousand, nine hundred forty-four".