83006856 has 112 divisors (see below), whose sum is σ = 239498160. Its totient is φ = 26943840.

The previous prime is 83006843. The next prime is 83006893. The reversal of 83006856 is 65860038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83006856.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 250611 + ... + 250941.

Almost surely, 2^83006856 is an apocalyptic number.

83006856 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 83006856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119749080).

83006856 is an abundant number, since it is smaller than the sum of its proper divisors (156491304).

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

83006856 is a wasteful number, since it uses less digits than its factorization.

83006856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 83006856 is about 9110.8098432576. The cubic root of 83006856 is about 436.2190773997.

The spelling of 83006856 in words is "eighty-three million, six thousand, eight hundred fifty-six".