82106688 has 56 divisors (see below), whose sum is σ = 226698048. Its totient is φ = 26177536.

The previous prime is 82106669. The next prime is 82106707. The reversal of 82106688 is 88660128.

It is an interprime number because it is at equal distance from previous prime (82106669) and next prime (82106707).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4881 + ... + 13712.

Almost surely, 2^82106688 is an apocalyptic number.

It is an amenable number.

82106688 is an abundant number, since it is smaller than the sum of its proper divisors (144591360).

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

82106688 is a wasteful number, since it uses less digits than its factorization.

82106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631 (or 18621 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 82106688 is about 9061.2740826001. The cubic root of 82106688 is about 434.6364831981.

The spelling of 82106688 in words is "eighty-two million, one hundred six thousand, six hundred eighty-eight".