82569900 has 216 divisors, whose sum is σ = 286762896. Its totient is φ = 18278400.

The previous prime is 82569889. The next prime is 82569923. The reversal of 82569900 is 996528.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 602632 + ... + 602768.

It is an arithmetic number, because the mean of its divisors is an integer number (1327606).

Almost surely, 2^82569900 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 82569900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143381448).

82569900 is an abundant number, since it is smaller than the sum of its proper divisors (204192996).

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

82569900 is a wasteful number, since it uses less digits than its factorization.

82569900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 82569900 is about 9086.7981159482. The cubic root of 82569900 is about 435.4522974233.

The spelling of 82569900 in words is "eighty-two million, five hundred sixty-nine thousand, nine hundred".