82864256 has 64 divisors (see below), whose sum is σ = 176861880. Its totient is φ = 38535168.

The previous prime is 82864247. The next prime is 82864259. The reversal of 82864256 is 65246828.

It can be written as a sum of positive squares in 4 ways, for example, as 49224256 + 33640000 = 7016^2 + 5800^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82864259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245720 + ... + 246056.

Almost surely, 2^82864256 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 82864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88430940).

82864256 is an abundant number, since it is smaller than the sum of its proper divisors (93997624).

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

82864256 is a wasteful number, since it uses less digits than its factorization.

82864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 82864256 is about 9102.9806107670. The cubic root of 82864256 is about 435.9691362155.

The spelling of 82864256 in words is "eighty-two million, eight hundred sixty-four thousand, two hundred fifty-six".