82735668 has 84 divisors (see below), whose sum is σ = 229989060. Its totient is φ = 25940736.

The previous prime is 82735649. The next prime is 82735691. The reversal of 82735668 is 86653728.

82735668 is a `hidden beast` number, since 82 + 7 + 3 + 566 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 28005264 = 7398^2 + 5292^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 48738 + ... + 50406.

It is an arithmetic number, because the mean of its divisors is an integer number (2737965).

Almost surely, 2^82735668 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 82735668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114994530).

82735668 is an abundant number, since it is smaller than the sum of its proper divisors (147253392).

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

82735668 is a wasteful number, since it uses less digits than its factorization.

82735668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1691 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82735668 is about 9095.9149072537. The cubic root of 82735668 is about 435.7435084840.

The spelling of 82735668 in words is "eighty-two million, seven hundred thirty-five thousand, six hundred sixty-eight".