82885600 has 216 divisors, whose sum is σ = 250015248. Its totient is φ = 26265600.

The previous prime is 82885597. The next prime is 82885631. The reversal of 82885600 is 658828.

It is a self number, because there is not a number n which added to its sum of digits gives 82885600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2021580 + ... + 2021620.

It is an arithmetic number, because the mean of its divisors is an integer number (1157478).

Almost surely, 2^82885600 is an apocalyptic number.

82885600 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 82885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125007624).

82885600 is an abundant number, since it is smaller than the sum of its proper divisors (167129648).

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

82885600 is a wasteful number, since it uses less digits than its factorization.

82885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 82885600 is about 9104.1528985403. The cubic root of 82885600 is about 436.0065650051.

The spelling of 82885600 in words is "eighty-two million, eight hundred eighty-five thousand, six hundred".