86083056 has 60 divisors (see below), whose sum is σ = 241935408. Its totient is φ = 28572672.

The previous prime is 86083051. The next prime is 86083097. The reversal of 86083056 is 65038068.

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 86083056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86083051) by changing a digit.

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, 36736 + ... + 39008.

Almost surely, 2^86083056 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 86083056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120967704).

86083056 is an abundant number, since it is smaller than the sum of its proper divisors (155852352).

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

86083056 is a wasteful number, since it uses less digits than its factorization.

86083056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2541 counting only the distinct ones).

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

The square root of 86083056 is about 9278.0954942273. The cubic root of 86083056 is about 441.5425472673.

It can be divided in two parts, 8608 and 3056, that added together give a square (11664 = 108²).

The spelling of 86083056 in words is "eighty-six million, eighty-three thousand, fifty-six".