86133800 has 48 divisors (see below), whose sum is σ = 201131100. Its totient is φ = 34304000.

The previous prime is 86133797. The next prime is 86133829. The reversal of 86133800 is 833168.

It can be written as a sum of positive squares in 6 ways, for example, as 39866596 + 46267204 = 6314^2 + 6802^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53000 + ... + 54600.

Almost surely, 2^86133800 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 86133800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100565550).

86133800 is an abundant number, since it is smaller than the sum of its proper divisors (114997300).

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

86133800 is a wasteful number, since it uses less digits than its factorization.

86133800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 86133800 is about 9280.8297042883. The cubic root of 86133800 is about 441.6292899821.

Adding to 86133800 its reverse (833168), we get a palindrome (86966968).

The spelling of 86133800 in words is "eighty-six million, one hundred thirty-three thousand, eight hundred".