86381568 has 264 divisors, whose sum is σ = 309964928. Its totient is φ = 22560768.

The previous prime is 86381567. The next prime is 86381579. The reversal of 86381568 is 86518368.

86381568 is a `hidden beast` number, since 8 + 6 + 3 + 81 + 568 = 666.

Its product of digits (276480) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86381567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838605 + ... + 838707.

Almost surely, 2^86381568 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 86381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154982464).

86381568 is an abundant number, since it is smaller than the sum of its proper divisors (223583360).

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

86381568 is a wasteful number, since it uses less digits than its factorization.

86381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 86381568 is about 9294.1684942764. The cubic root of 86381568 is about 442.0523405323.

The spelling of 86381568 in words is "eighty-six million, three hundred eighty-one thousand, five hundred sixty-eight".