820336132 has 24 divisors (see below), whose sum is σ = 1789824960. Its totient is φ = 319611360.

The previous prime is 820336129. The next prime is 820336163. The reversal of 820336132 is 231633028.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 820336132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331407 + ... + 1332022.

It is an arithmetic number, because the mean of its divisors is an integer number (74576040).

Almost surely, 2^820336132 is an apocalyptic number.

It is an amenable number.

820336132 is an abundant number, since it is smaller than the sum of its proper divisors (969488828).

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

820336132 is a wasteful number, since it uses less digits than its factorization.

820336132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663451 (or 2663449 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 820336132 is about 28641.5106445173. The cubic root of 820336132 is about 936.1180376256.

The spelling of 820336132 in words is "eight hundred twenty million, three hundred thirty-six thousand, one hundred thirty-two".