820038 has 16 divisors (see below), whose sum is σ = 1658160. Its totient is φ = 270336.

The previous prime is 820037. The next prime is 820051. The reversal of 820038 is 830028.

It is a super-3 number, since 3×820038³ = 1654333971456884616, which contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 819996 and 820023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (103635).

2⁸²⁰⁰³⁸ is an apocalyptic number.

820038 is an abundant number, since it is smaller than the sum of its proper divisors (838122).

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

820038 is a wasteful number, since it uses less digits than its factorization.

820038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 820038 is about 905.5594955606. The cubic root of 820038 is about 93.6004620475.

The spelling of 820038 in words is "eight hundred twenty thousand, thirty-eight".