86068000 has 48 divisors (see below), whose sum is σ = 211478904. Its totient is φ = 34425600.

The previous prime is 86067973. The next prime is 86068007. The reversal of 86068000 is 86068.

It can be written as a sum of positive squares in 4 ways, for example, as 19678096 + 66389904 = 4436^2 + 8148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86068000.

It is not an unprimeable number, because it can be changed into a prime (86068007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6759 + ... + 14758.

Almost surely, 2^86068000 is an apocalyptic number.

86068000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86068000 is an abundant number, since it is smaller than the sum of its proper divisors (125410904).

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

86068000 is a wasteful number, since it uses less digits than its factorization.

86068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21542 (or 21524 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 86068000 is about 9277.2840853345. The cubic root of 86068000 is about 441.5168037102.

86068000 divided by its reverse (86068) gives a cube (1000 = 10³).

The spelling of 86068000 in words is "eighty-six million, sixty-eight thousand".