86334186960 has 640 divisors, whose sum is σ = 347013504000. Its totient is φ = 19564167168.

The previous prime is 86334186943. The next prime is 86334187063. The reversal of 86334186960 is 6968143368.

86334186960 is a `hidden beast` number, since 86 + 33 + 418 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86334186897 and 86334186906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192280816 + ... + 192281264.

It is an arithmetic number, because the mean of its divisors is an integer number (542208600).

Almost surely, 2^86334186960 is an apocalyptic number.

86334186960 is a gapful number since it is divisible by the number (80) 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 86334186960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173506752000).

86334186960 is an abundant number, since it is smaller than the sum of its proper divisors (260679317040).

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

86334186960 is a wasteful number, since it uses less digits than its factorization.

86334186960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 86334186960 in words is "eighty-six billion, three hundred thirty-four million, one hundred eighty-six thousand, nine hundred sixty".