82826656 has 48 divisors (see below), whose sum is σ = 179081280. Its totient is φ = 37396480.

The previous prime is 82826641. The next prime is 82826659. The reversal of 82826656 is 65662828.

It is not an unprimeable number, because it can be changed into a prime (82826659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58080 + ... + 59488.

It is an arithmetic number, because the mean of its divisors is an integer number (3730860).

Almost surely, 2^82826656 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 82826656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540640).

82826656 is an abundant number, since it is smaller than the sum of its proper divisors (96254624).

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

82826656 is a wasteful number, since it uses less digits than its factorization.

82826656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1589 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 82826656 is about 9100.9151188218. The cubic root of 82826656 is about 435.9031853045.

It can be divided in two parts, 828266 and 56, that multiplied together give a triangular number (46382896 = T₉₆₃₁).

The spelling of 82826656 in words is "eighty-two million, eight hundred twenty-six thousand, six hundred fifty-six".