832057320 has 64 divisors (see below), whose sum is σ = 2506616640. Its totient is φ = 220953600.

The previous prime is 832057301. The next prime is 832057327. The reversal of 832057320 is 23750238.

832057320 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 (30).

It is not an unprimeable number, because it can be changed into a prime (832057327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14535 + ... + 43305.

It is an arithmetic number, because the mean of its divisors is an integer number (39165885).

Almost surely, 2^832057320 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 832057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253308320).

832057320 is an abundant number, since it is smaller than the sum of its proper divisors (1674559320).

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

832057320 is a wasteful number, since it uses less digits than its factorization.

832057320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026 (or 29022 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 832057320 is about 28845.4037933255. The cubic root of 832057320 is about 940.5554737116. Note that the first 3 decimals are identical.

It can be divided in two parts, 83205 and 7320, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 832057320 in words is "eight hundred thirty-two million, fifty-seven thousand, three hundred twenty".