86346656 has 96 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 36864000.

The previous prime is 86346653. The next prime is 86346713. The reversal of 86346656 is 65664368.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (86346653) 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 15 ways as a sum of consecutive naturals, for example, 447296 + ... + 447488.

It is an arithmetic number, because the mean of its divisors is an integer number (2053296).

Almost surely, 2^86346656 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 86346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

86346656 is an abundant number, since it is smaller than the sum of its proper divisors (110769760).

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

86346656 is a wasteful number, since it uses less digits than its factorization.

86346656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The square root of 86346656 is about 9292.2901375280. The cubic root of 86346656 is about 441.9927791727.

The spelling of 86346656 in words is "eighty-six million, three hundred forty-six thousand, six hundred fifty-six".