82425888 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 25966080.

The previous prime is 82425887. The next prime is 82425901. The reversal of 82425888 is 88852428.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (82425887) 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 23 ways as a sum of consecutive naturals, for example, 592923 + ... + 593061.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^82425888 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 82425888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

82425888 is an abundant number, since it is smaller than the sum of its proper divisors (165239712).

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

82425888 is a wasteful number, since it uses less digits than its factorization.

82425888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 82425888 is about 9078.8704143192. The cubic root of 82425888 is about 435.1989894188.

The spelling of 82425888 in words is "eighty-two million, four hundred twenty-five thousand, eight hundred eighty-eight".