86005656 has 144 divisors (see below), whose sum is σ = 264892680. Its totient is φ = 24998400.

The previous prime is 86005643. The next prime is 86005663. The reversal of 86005656 is 65650068.

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 86005656.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 761056 + ... + 761168.

Almost surely, 2^86005656 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 86005656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132446340).

86005656 is an abundant number, since it is smaller than the sum of its proper divisors (178887024).

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

86005656 is a wasteful number, since it uses less digits than its factorization.

86005656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 86005656 is about 9273.9234415645. The cubic root of 86005656 is about 441.4101726259.

The spelling of 86005656 in words is "eighty-six million, five thousand, six hundred fifty-six".