820536 has 32 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 270560.

The previous prime is 820489. The next prime is 820537. The reversal of 820536 is 635028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820537) by changing a digit.

820536 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 7 ways as a sum of consecutive naturals, for example, 4201 + ... + 4391.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2⁸²⁰⁵³⁶ is an apocalyptic number.

It is an amenable number.

820536 is an abundant number, since it is smaller than the sum of its proper divisors (1253064).

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

820536 is a wasteful number, since it uses less digits than its factorization.

820536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 820536 is about 905.8344219558. The cubic root of 820536 is about 93.6194057215.

The spelling of 820536 in words is "eight hundred twenty thousand, five hundred thirty-six".