82221968 has 40 divisors (see below), whose sum is σ = 168426720. Its totient is φ = 38776320.

The previous prime is 82221967. The next prime is 82221973. The reversal of 82221968 is 86912228.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (82221967) 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 7 ways as a sum of consecutive naturals, for example, 92888 + ... + 93768.

It is an arithmetic number, because the mean of its divisors is an integer number (4210668).

Almost surely, 2^82221968 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 82221968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84213360).

82221968 is an abundant number, since it is smaller than the sum of its proper divisors (86204752).

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

82221968 is a wasteful number, since it uses less digits than its factorization.

82221968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 82221968 is about 9067.6329877207. The cubic root of 82221968 is about 434.8398018467.

The spelling of 82221968 in words is "eighty-two million, two hundred twenty-one thousand, nine hundred sixty-eight".