82668600 has 264 divisors, whose sum is σ = 329491560. Its totient is φ = 18895680.

The previous prime is 82668583. The next prime is 82668613. The reversal of 82668600 is 686628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 675 × 189 × 648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 11809797 + ... + 11809803.

Almost surely, 2^82668600 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 82668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164745780).

82668600 is an abundant number, since it is smaller than the sum of its proper divisors (246822960).

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

82668600 is an equidigital number, since it uses as much as digits as its factorization.

82668600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82668600 is about 9092.2274498607. The cubic root of 82668600 is about 435.6257344266.

The spelling of 82668600 in words is "eighty-two million, six hundred sixty-eight thousand, six hundred".