82667856 has 80 divisors (see below), whose sum is σ = 219414528. Its totient is φ = 26812800.

The previous prime is 82667831. The next prime is 82667857. The reversal of 82667856 is 65876628.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82667857) 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 15 ways as a sum of consecutive naturals, for example, 432721 + ... + 432911.

Almost surely, 2^82667856 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 82667856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109707264).

82667856 is an abundant number, since it is smaller than the sum of its proper divisors (136746672).

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

82667856 is a wasteful number, since it uses less digits than its factorization.

82667856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 82667856 is about 9092.1865357020. The cubic root of 82667856 is about 435.6244275761.

The spelling of 82667856 in words is "eighty-two million, six hundred sixty-seven thousand, eight hundred fifty-six".