82424200 has 48 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 32823360.

The previous prime is 82424189. The next prime is 82424213. The reversal of 82424200 is 242428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51817 + ... + 53383.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^82424200 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 82424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

82424200 is an abundant number, since it is smaller than the sum of its proper divisors (110063480).

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

82424200 is a wasteful number, since it uses less digits than its factorization.

82424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 82424200 is about 9078.7774507364. Note that the first 3 decimals coincide. The cubic root of 82424200 is about 435.1960185847.

Adding to 82424200 its reverse (242428), we get a palindrome (82666628).

The spelling of 82424200 in words is "eighty-two million, four hundred twenty-four thousand, two hundred".