82906684 has 48 divisors (see below), whose sum is σ = 171859968. Its totient is φ = 34259328.

The previous prime is 82906673. The next prime is 82906699. The reversal of 82906684 is 48660928.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82906684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95637 + ... + 96499.

It is an arithmetic number, because the mean of its divisors is an integer number (3580416).

Almost surely, 2^82906684 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 82906684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85929984).

82906684 is an abundant number, since it is smaller than the sum of its proper divisors (88953284).

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

82906684 is a wasteful number, since it uses less digits than its factorization.

82906684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 82906684 is about 9105.3107580137. The cubic root of 82906684 is about 436.0435315512.

The spelling of 82906684 in words is "eighty-two million, nine hundred six thousand, six hundred eighty-four".