820044 has 30 divisors (see below), whose sum is σ = 2144604. Its totient is φ = 273240.

The previous prime is 820037. The next prime is 820051. The reversal of 820044 is 440028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (820037) and next prime (820051).

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

It is a junction number, because it is equal to n+sod(n) for n = 819999 and 820026.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 942 + ... + 1589.

2⁸²⁰⁰⁴⁴ is an apocalyptic number.

It is an amenable number.

820044 is an abundant number, since it is smaller than the sum of its proper divisors (1324560).

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

820044 is a wasteful number, since it uses less digits than its factorization.

820044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 820044 is about 905.5628084236. The cubic root of 820044 is about 93.6006903302.

The spelling of 820044 in words is "eight hundred twenty thousand, forty-four".