82273968 has 120 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 23499072.

The previous prime is 82273951. The next prime is 82273973. The reversal of 82273968 is 86937228.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25705 + ... + 28727.

Almost surely, 2^82273968 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 82273968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

82273968 is an abundant number, since it is smaller than the sum of its proper divisors (190708560).

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

82273968 is a wasteful number, since it uses less digits than its factorization.

82273968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3035 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82273968 is about 9070.4998759716. The cubic root of 82273968 is about 434.9314517432.

The spelling of 82273968 in words is "eighty-two million, two hundred seventy-three thousand, nine hundred sixty-eight".