86333200 has 30 divisors (see below), whose sum is σ = 207416474. Its totient is φ = 34533120.

The previous prime is 86333183. The next prime is 86333209. The reversal of 86333200 is 233368.

It can be written as a sum of positive squares in 3 ways, for example, as 11614464 + 74718736 = 3408^2 + 8644^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (86333209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107517 + ... + 108316.

Almost surely, 2^86333200 is an apocalyptic number.

86333200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86333200 is an abundant number, since it is smaller than the sum of its proper divisors (121083274).

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

86333200 is a wasteful number, since it uses less digits than its factorization.

86333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215851 (or 215840 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 86333200 is about 9291.5660682148. The cubic root of 86333200 is about 441.9698183769.

Adding to 86333200 its reverse (233368), we get a palindrome (86566568).

The spelling of 86333200 in words is "eighty-six million, three hundred thirty-three thousand, two hundred".