86068800 has 252 divisors, whose sum is σ = 315274960. Its totient is φ = 22256640.

The previous prime is 86068777. The next prime is 86068811. The reversal of 86068800 is 886068.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619131 + ... + 619269.

Almost surely, 2^86068800 is an apocalyptic number.

86068800 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 86068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157637480).

86068800 is an abundant number, since it is smaller than the sum of its proper divisors (229206160).

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

86068800 is a wasteful number, since it uses less digits than its factorization.

86068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 86068800 is about 9277.3272013010. The cubic root of 86068800 is about 441.5181716687.

It can be divided in two parts, 86068 and 800, that added together give a palindrome (86868).

The spelling of 86068800 in words is "eighty-six million, sixty-eight thousand, eight hundred".