86466006 has 48 divisors (see below), whose sum is σ = 210981888. Its totient is φ = 25354800.

The previous prime is 86465989. The next prime is 86466011. The reversal of 86466006 is 60066468.

86466006 is a `hidden beast` number, since 8 + 6 + 46 + 600 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906 + ... + 13181.

It is an arithmetic number, because the mean of its divisors is an integer number (4395456).

Almost surely, 2^86466006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86466006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105490944).

86466006 is an abundant number, since it is smaller than the sum of its proper divisors (124515882).

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

86466006 is a wasteful number, since it uses less digits than its factorization.

86466006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14137 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86466006 is about 9298.7099105198. The cubic root of 86466006 is about 442.1963290433.

The spelling of 86466006 in words is "eighty-six million, four hundred sixty-six thousand, six".