820508832 has 384 divisors, whose sum is σ = 2921184000. Its totient is φ = 220631040.

The previous prime is 820508827. The next prime is 820508839. The reversal of 820508832 is 238805028.

820508832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820508839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3582894 + ... + 3583122.

It is an arithmetic number, because the mean of its divisors is an integer number (7607250).

Almost surely, 2^820508832 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 820508832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460592000).

820508832 is an abundant number, since it is smaller than the sum of its proper divisors (2100675168).

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

820508832 is a wasteful number, since it uses less digits than its factorization.

820508832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 820508832 is about 28644.5253408047. The cubic root of 820508832 is about 936.1837246186.

The spelling of 820508832 in words is "eight hundred twenty million, five hundred eight thousand, eight hundred thirty-two".