82832840 has 64 divisors (see below), whose sum is σ = 198722160. Its totient is φ = 30965760.

The previous prime is 82832839. The next prime is 82832861. The reversal of 82832840 is 4823828.

It can be written as a sum of positive squares in 8 ways, for example, as 14638276 + 68194564 = 3826^2 + 8258^2 .

It is a super-2 number, since 2×82832840² = 13722558764931200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82832840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122744 + ... + 123416.

Almost surely, 2^82832840 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 82832840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99361080).

82832840 is an abundant number, since it is smaller than the sum of its proper divisors (115889320).

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

82832840 is a wasteful number, since it uses less digits than its factorization.

82832840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 82832840 is about 9101.2548585346. The cubic root of 82832840 is about 435.9140334957.

The spelling of 82832840 in words is "eighty-two million, eight hundred thirty-two thousand, eight hundred forty".