86786304 has 72 divisors (see below), whose sum is σ = 252000672. Its totient is φ = 26296320.

The previous prime is 86786279. The next prime is 86786363. The reversal of 86786304 is 40368768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3312 + ... + 13584.

Almost surely, 2^86786304 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 86786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000336).

86786304 is an abundant number, since it is smaller than the sum of its proper divisors (165214368).

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

86786304 is a wasteful number, since it uses less digits than its factorization.

86786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 86786304 is about 9315.9167020750. The cubic root of 86786304 is about 442.7416688772.

The spelling of 86786304 in words is "eighty-six million, seven hundred eighty-six thousand, three hundred four".