82024000 has 56 divisors (see below), whose sum is σ = 203152248. Its totient is φ = 32806400.

The previous prime is 82023989. The next prime is 82024001. The reversal of 82024000 is 42028.

It can be written as a sum of positive squares in 4 ways, for example, as 14258176 + 67765824 = 3776^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (82024001) 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, 2874 + ... + 13126.

Almost surely, 2^82024000 is an apocalyptic number.

82024000 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 82024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101576124).

82024000 is an abundant number, since it is smaller than the sum of its proper divisors (121128248).

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

82024000 is a wasteful number, since it uses less digits than its factorization.

82024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82024000 is about 9056.7102195002. The cubic root of 82024000 is about 434.4905296276.

Adding to 82024000 its reverse (42028), we get a palindrome (82066028).

The spelling of 82024000 in words is "eighty-two million, twenty-four thousand".