82058688 has 84 divisors (see below), whose sum is σ = 237545880. Its totient is φ = 27081216.

The previous prime is 82058657. The next prime is 82058689. The reversal of 82058688 is 88685028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82058689) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62131 + ... + 63437.

Almost surely, 2^82058688 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 82058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118772940).

82058688 is an abundant number, since it is smaller than the sum of its proper divisors (155487192).

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

82058688 is a wasteful number, since it uses less digits than its factorization.

82058688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 82058688 is about 9058.6250612331. The cubic root of 82058688 is about 434.5517697663.

The spelling of 82058688 in words is "eighty-two million, fifty-eight thousand, six hundred eighty-eight".