820634232 has 128 divisors (see below), whose sum is σ = 2326579200. Its totient is φ = 238963200.

The previous prime is 820634207. The next prime is 820634233. The reversal of 820634232 is 232436028.

820634232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 820634232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820634233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611994 + ... + 1612502.

It is an arithmetic number, because the mean of its divisors is an integer number (18176400).

Almost surely, 2^820634232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820634232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163289600).

820634232 is an abundant number, since it is smaller than the sum of its proper divisors (1505944968).

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

820634232 is a wasteful number, since it uses less digits than its factorization.

820634232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 820634232 is about 28646.7141571245. The cubic root of 820634232 is about 936.2314151306.

The spelling of 820634232 in words is "eight hundred twenty million, six hundred thirty-four thousand, two hundred thirty-two".