832870890 has 128 divisors (see below), whose sum is σ = 2353536000. Its totient is φ = 209003328.

The previous prime is 832870877. The next prime is 832870897. The reversal of 832870890 is 98078238.

832870890 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 (45).

It is not an unprimeable number, because it can be changed into a prime (832870897) 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, 917817 + ... + 918723.

It is an arithmetic number, because the mean of its divisors is an integer number (18387000).

Almost surely, 2^832870890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832870890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176768000).

832870890 is an abundant number, since it is smaller than the sum of its proper divisors (1520665110).

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

832870890 is a wasteful number, since it uses less digits than its factorization.

832870890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 832870890 is about 28859.5025944662. The cubic root of 832870890 is about 940.8619263368.

The spelling of 832870890 in words is "eight hundred thirty-two million, eight hundred seventy thousand, eight hundred ninety".