82926816 has 216 divisors, whose sum is σ = 273404376. Its totient is φ = 21934080.

The previous prime is 82926803. The next prime is 82926817. The reversal of 82926816 is 61862928.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82926817) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1359426 + ... + 1359486.

It is an arithmetic number, because the mean of its divisors is an integer number (1265761).

Almost surely, 2^82926816 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 82926816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136702188).

82926816 is an abundant number, since it is smaller than the sum of its proper divisors (190477560).

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

82926816 is a wasteful number, since it uses less digits than its factorization.

82926816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 82926816 is about 9106.4161995815. The cubic root of 82926816 is about 436.0788231083.

The spelling of 82926816 in words is "eighty-two million, nine hundred twenty-six thousand, eight hundred sixteen".