82675264 has 56 divisors (see below), whose sum is σ = 193576448. Its totient is φ = 34283520.

The previous prime is 82675261. The next prime is 82675273. The reversal of 82675264 is 46257628.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (82675261) 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 7 ways as a sum of consecutive naturals, for example, 10912 + ... + 16864.

Almost surely, 2^82675264 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 82675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96788224).

82675264 is an abundant number, since it is smaller than the sum of its proper divisors (110901184).

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

82675264 is a wasteful number, since it uses less digits than its factorization.

82675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 5993 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 82675264 is about 9092.5939093308. The cubic root of 82675264 is about 435.6374395234.

It can be divided in two parts, 8267 and 5264, that added together give a palindrome (13531).

The spelling of 82675264 in words is "eighty-two million, six hundred seventy-five thousand, two hundred sixty-four".