82868256 has 144 divisors (see below), whose sum is σ = 246781080. Its totient is φ = 26357760.

The previous prime is 82868207. The next prime is 82868263. The reversal of 82868256 is 65286828.

It can be written as a sum of positive squares in 4 ways, for example, as 44675856 + 38192400 = 6684^2 + 6180^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 931060 + ... + 931148.

Almost surely, 2^82868256 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 82868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540).

82868256 is an abundant number, since it is smaller than the sum of its proper divisors (163912824).

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

82868256 is a wasteful number, since it uses less digits than its factorization.

82868256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 82868256 is about 9103.2003163723. The cubic root of 82868256 is about 435.9761510957.

The spelling of 82868256 in words is "eighty-two million, eight hundred sixty-eight thousand, two hundred fifty-six".