82668096 has 252 divisors, whose sum is σ = 287967420. Its totient is φ = 22579200.

The previous prime is 82668077. The next prime is 82668133. The reversal of 82668096 is 69086628.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 17640000 = 8064^2 + 4200^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 818446 + ... + 818546.

Almost surely, 2^82668096 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 82668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143983710).

82668096 is an abundant number, since it is smaller than the sum of its proper divisors (205299324).

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

82668096 is a wasteful number, since it uses less digits than its factorization.

82668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 82668096 is about 9092.1997338378. The cubic root of 82668096 is about 435.6248491416.

The spelling of 82668096 in words is "eighty-two million, six hundred sixty-eight thousand, ninety-six".