82850600 has 192 divisors, whose sum is σ = 239984640. Its totient is φ = 25977600.

The previous prime is 82850591. The next prime is 82850629. The reversal of 82850600 is 605828.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 998159 + ... + 998241.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^82850600 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 82850600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

82850600 is an abundant number, since it is smaller than the sum of its proper divisors (157134040).

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

82850600 is a wasteful number, since it uses less digits than its factorization.

82850600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 82850600 is about 9102.2304958730. The cubic root of 82850600 is about 435.9451857134.

The spelling of 82850600 in words is "eighty-two million, eight hundred fifty thousand, six hundred".