82458864 has 160 divisors (see below), whose sum is σ = 254031360. Its totient is φ = 25546752.

The previous prime is 82458863. The next prime is 82458869. The reversal of 82458864 is 46885428.

82458864 is a `hidden beast` number, since 8 + 2 + 4 + 588 + 64 = 666.

82458864 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82458863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427152 + ... + 427344.

It is an arithmetic number, because the mean of its divisors is an integer number (1587696).

Almost surely, 2^82458864 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 82458864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127015680).

82458864 is an abundant number, since it is smaller than the sum of its proper divisors (171572496).

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

82458864 is a wasteful number, since it uses less digits than its factorization.

82458864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 82458864 is about 9080.6863176745. The cubic root of 82458864 is about 435.2570181475.

The spelling of 82458864 in words is "eighty-two million, four hundred fifty-eight thousand, eight hundred sixty-four".