82657696 has 72 divisors (see below), whose sum is σ = 183181824. Its totient is φ = 36408960.

The previous prime is 82657669. The next prime is 82657709. The reversal of 82657696 is 69675628.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 650785 + ... + 650911.

It is an arithmetic number, because the mean of its divisors is an integer number (2544192).

Almost surely, 2^82657696 is an apocalyptic number.

82657696 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82657696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91590912).

82657696 is an abundant number, since it is smaller than the sum of its proper divisors (100524128).

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

82657696 is a wasteful number, since it uses less digits than its factorization.

82657696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 183 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 82657696 is about 9091.6277970449. The cubic root of 82657696 is about 435.6065805525.

The spelling of 82657696 in words is "eighty-two million, six hundred fifty-seven thousand, six hundred ninety-six".