86418306 has 64 divisors (see below), whose sum is σ = 208051200. Its totient is φ = 26431488.

The previous prime is 86418301. The next prime is 86418313. The reversal of 86418306 is 60381468.

It is a happy number.

86418306 is a `hidden beast` number, since 8 + 641 + 8 + 3 + 0 + 6 = 666.

It is a super-2 number, since 2×86418306² = 14936247223819272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86418301) 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 31 ways as a sum of consecutive naturals, for example, 180175 + ... + 180653.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 2^86418306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86418306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104025600).

86418306 is an abundant number, since it is smaller than the sum of its proper divisors (121632894).

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

86418306 is a wasteful number, since it uses less digits than its factorization.

86418306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86418306 is about 9296.1446847605. The cubic root of 86418306 is about 442.1149997990.

The spelling of 86418306 in words is "eighty-six million, four hundred eighteen thousand, three hundred six".