86366000 has 160 divisors (see below), whose sum is σ = 247603200. Its totient is φ = 28512000.

The previous prime is 86365999. The next prime is 86366047. The reversal of 86366000 is 66368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433901 + ... + 434099.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2^86366000 is an apocalyptic number.

86366000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801600).

86366000 is an abundant number, since it is smaller than the sum of its proper divisors (161237200).

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

86366000 is a wasteful number, since it uses less digits than its factorization.

86366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 86366000 is about 9293.3309421326. The cubic root of 86366000 is about 442.0257828438.

The spelling of 86366000 in words is "eighty-six million, three hundred sixty-six thousand".