86381064 has 96 divisors (see below), whose sum is σ = 291695040. Its totient is φ = 22435200.

The previous prime is 86381047. The next prime is 86381069. The reversal of 86381064 is 46018368.

It is a happy number.

86381064 is a `hidden beast` number, since 8 + 638 + 10 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86381069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (3038490).

Almost surely, 2^86381064 is an apocalyptic number.

86381064 is a gapful number since it is divisible by the number (84) 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 86381064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145847520).

86381064 is an abundant number, since it is smaller than the sum of its proper divisors (205313976).

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

86381064 is a wasteful number, since it uses less digits than its factorization.

86381064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15611 (or 15604 counting only the distinct ones).

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

The square root of 86381064 is about 9294.1413804611. The cubic root of 86381064 is about 442.0514808010.

The spelling of 86381064 in words is "eighty-six million, three hundred eighty-one thousand, sixty-four".