832090512 has 80 divisors (see below), whose sum is σ = 2349046080. Its totient is φ = 251712000.

The previous prime is 832090477. The next prime is 832090537. The reversal of 832090512 is 215090238.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 832090512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436762 + ... + 438662.

It is an arithmetic number, because the mean of its divisors is an integer number (29363076).

Almost surely, 2^832090512 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 832090512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174523040).

832090512 is an abundant number, since it is smaller than the sum of its proper divisors (1516955568).

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

832090512 is a wasteful number, since it uses less digits than its factorization.

832090512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 832090512 is about 28845.9791305478. The cubic root of 832090512 is about 940.5679802627.

The spelling of 832090512 in words is "eight hundred thirty-two million, ninety thousand, five hundred twelve".