82576208 has 120 divisors (see below), whose sum is σ = 201565224. Its totient is φ = 32440320.

The previous prime is 82576181. The next prime is 82576217. The reversal of 82576208 is 80267528.

It can be written as a sum of positive squares in 4 ways, for example, as 3579664 + 78996544 = 1892^2 + 8888^2 .

It is a congruent number.

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, 427760 + ... + 427952.

Almost surely, 2^82576208 is an apocalyptic number.

82576208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82576208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100782612).

82576208 is an abundant number, since it is smaller than the sum of its proper divisors (118989016).

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

82576208 is a wasteful number, since it uses less digits than its factorization.

82576208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 82576208 is about 9087.1452062790. The cubic root of 82576208 is about 435.4633860611.

The spelling of 82576208 in words is "eighty-two million, five hundred seventy-six thousand, two hundred eight".