86424064 has 80 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 40099840.

The previous prime is 86424059. The next prime is 86424071. The reversal of 86424064 is 46042468.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482727 + ... + 482905.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^86424064 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 86424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

86424064 is an abundant number, since it is smaller than the sum of its proper divisors (99189056).

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

86424064 is a wasteful number, since it uses less digits than its factorization.

86424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 86424064 is about 9296.4543778798. The cubic root of 86424064 is about 442.1248188668.

The spelling of 86424064 in words is "eighty-six million, four hundred twenty-four thousand, sixty-four".