820032 has 28 divisors (see below), whose sum is σ = 2170176. Its totient is φ = 273280.

The previous prime is 819991. The next prime is 820037. The reversal of 820032 is 230028.

It is a junction number, because it is equal to n+sod(n) for n = 819993 and 820020.

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 3 ways as a sum of consecutive naturals, for example, 1944 + ... + 2327.

2⁸²⁰⁰³² is an apocalyptic number.

It is an amenable number.

820032 is an abundant number, since it is smaller than the sum of its proper divisors (1350144).

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

820032 is a wasteful number, since it uses less digits than its factorization.

820032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 820032 is about 905.5561826855. The cubic root of 820032 is about 93.6002337638.

The spelling of 820032 in words is "eight hundred twenty thousand, thirty-two".