82568034 has 48 divisors (see below), whose sum is σ = 189895680. Its totient is φ = 25855200.

The previous prime is 82568021. The next prime is 82568051. The reversal of 82568034 is 43086528.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82568034.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42484 + ... + 44384.

It is an arithmetic number, because the mean of its divisors is an integer number (3956160).

Almost surely, 2^82568034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82568034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94947840).

82568034 is an abundant number, since it is smaller than the sum of its proper divisors (107327646).

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

82568034 is a wasteful number, since it uses less digits than its factorization.

82568034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82568034 is about 9086.6954389371. The cubic root of 82568034 is about 435.4490171314.

It can be divided in two parts, 8256 and 8034, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 82568034 in words is "eighty-two million, five hundred sixty-eight thousand, thirty-four".