86633856 has 96 divisors (see below), whose sum is σ = 251409600. Its totient is φ = 28634112.

The previous prime is 86633851. The next prime is 86633867. The reversal of 86633856 is 65833668.

86633856 is a `hidden beast` number, since 8 + 6 + 633 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86633851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180625 + ... + 181103.

It is an arithmetic number, because the mean of its divisors is an integer number (2618850).

Almost surely, 2^86633856 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 86633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125704800).

86633856 is an abundant number, since it is smaller than the sum of its proper divisors (164775744).

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

86633856 is a wasteful number, since it uses less digits than its factorization.

86633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 86633856 is about 9307.7309802121. The cubic root of 86633856 is about 442.4822783289.

The spelling of 86633856 in words is "eighty-six million, six hundred thirty-three thousand, eight hundred fifty-six".