82424420 has 48 divisors (see below), whose sum is σ = 189498288. Its totient is φ = 29928960.

The previous prime is 82424401. The next prime is 82424437. The reversal of 82424420 is 2442428.

It can be written as a sum of positive squares in 8 ways, for example, as 25482304 + 56942116 = 5048^2 + 7546^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 82424420.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13262 + ... + 18458.

It is an arithmetic number, because the mean of its divisors is an integer number (3947881).

Almost surely, 2^82424420 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 82424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94749144).

82424420 is an abundant number, since it is smaller than the sum of its proper divisors (107073868).

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

82424420 is a wasteful number, since it uses less digits than its factorization.

82424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 82424420 is about 9078.7895668971. The cubic root of 82424420 is about 435.1964057810.

Adding to 82424420 its reverse (2442428), we get a palindrome (84866848).

The spelling of 82424420 in words is "eighty-two million, four hundred twenty-four thousand, four hundred twenty".