86004000 has 144 divisors (see below), whose sum is σ = 305355960. Its totient is φ = 22924800.

The previous prime is 86003987. The next prime is 86004007. The reversal of 86004000 is 40068.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 71166096 = 3852^2 + 8436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (86004007) 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, 34806 + ... + 37194.

Almost surely, 2^86004000 is an apocalyptic number.

86004000 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 86004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152677980).

86004000 is an abundant number, since it is smaller than the sum of its proper divisors (219351960).

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

86004000 is a wasteful number, since it uses less digits than its factorization.

86004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 86004000 is about 9273.8341585344. The cubic root of 86004000 is about 441.4073395567.

Adding to 86004000 its reverse (40068), we get a palindrome (86044068).

The spelling of 86004000 in words is "eighty-six million, four thousand".