82546688 has 52 divisors (see below), whose sum is σ = 188720640. Its totient is φ = 35364864.

The previous prime is 82546663. The next prime is 82546703. The reversal of 82546688 is 88664528.

It is a super-3 number, since 3×82546688³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27233 + ... + 30111.

Almost surely, 2^82546688 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 82546688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94360320).

82546688 is an abundant number, since it is smaller than the sum of its proper divisors (106173952).

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

82546688 is an equidigital number, since it uses as much as digits as its factorization.

82546688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2888 counting only the distinct ones).

The product of its digits is 737280, while the sum is 47.

The square root of 82546688 is about 9085.5207885954. The cubic root of 82546688 is about 435.4114889041.

The spelling of 82546688 in words is "eighty-two million, five hundred forty-six thousand, six hundred eighty-eight".