82266008 has 48 divisors (see below), whose sum is σ = 173524680. Its totient is φ = 36240000.

The previous prime is 82266007. The next prime is 82266013. The reversal of 82266008 is 80066228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82266007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544733 + ... + 544883.

Almost surely, 2^82266008 is an apocalyptic number.

82266008 is a gapful number since it is divisible by the number (88) 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 82266008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86762340).

82266008 is an abundant number, since it is smaller than the sum of its proper divisors (91258672).

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

82266008 is a wasteful number, since it uses less digits than its factorization.

82266008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 82266008 is about 9070.0610802794. The cubic root of 82266008 is about 434.9174247628.

The spelling of 82266008 in words is "eighty-two million, two hundred sixty-six thousand, eight".