82864680 has 64 divisors (see below), whose sum is σ = 251769600. Its totient is φ = 21815040.

The previous prime is 82864679. The next prime is 82864693. The reversal of 82864680 is 8646828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5110 + ... + 13850.

It is an arithmetic number, because the mean of its divisors is an integer number (3933900).

Almost surely, 2^82864680 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 82864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125884800).

82864680 is an abundant number, since it is smaller than the sum of its proper divisors (168904920).

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

82864680 is a wasteful number, since it uses less digits than its factorization.

82864680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 82864680 is about 9103.0038998124. The cubic root of 82864680 is about 435.9698798035.

The spelling of 82864680 in words is "eighty-two million, eight hundred sixty-four thousand, six hundred eighty".