82022960 has 80 divisors (see below), whose sum is σ = 206986752. Its totient is φ = 30105600.

The previous prime is 82022957. The next prime is 82022999. The reversal of 82022960 is 6922028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55025 + ... + 56495.

Almost surely, 2^82022960 is an apocalyptic number.

82022960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103493376).

82022960 is an abundant number, since it is smaller than the sum of its proper divisors (124963792).

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

82022960 is a wasteful number, since it uses less digits than its factorization.

82022960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 82022960 is about 9056.6528033264. The cubic root of 82022960 is about 434.4886932868.

Adding to 82022960 its reverse (6922028), we get a palindrome (88944988).

The spelling of 82022960 in words is "eighty-two million, twenty-two thousand, nine hundred sixty".