83705856 has 120 divisors (see below), whose sum is σ = 242213664. Its totient is φ = 25559040.

The previous prime is 83705801. The next prime is 83705863. The reversal of 83705856 is 65850738.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638911 + ... + 639041.

Almost surely, 2^83705856 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 83705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121106832).

83705856 is an abundant number, since it is smaller than the sum of its proper divisors (158507808).

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

83705856 is a wasteful number, since it uses less digits than its factorization.

83705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 83705856 is about 9149.0904465963. The cubic root of 83705856 is about 437.4401219821.

The spelling of 83705856 in words is "eighty-three million, seven hundred five thousand, eight hundred fifty-six".