86233200 has 60 divisors (see below), whose sum is σ = 276237528. Its totient is φ = 22995200.

The previous prime is 86233183. The next prime is 86233201. The reversal of 86233200 is 233268.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86233201) 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 11 ways as a sum of consecutive naturals, for example, 34731 + ... + 37130.

Almost surely, 2^86233200 is an apocalyptic number.

86233200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86233200 is an abundant number, since it is smaller than the sum of its proper divisors (190004328).

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

86233200 is a wasteful number, since it uses less digits than its factorization.

86233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71882 (or 71871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 86233200 is about 9286.1832848593. The cubic root of 86233200 is about 441.7991074672.

Adding to 86233200 its reverse (233268), we get a palindrome (86466468).

The spelling of 86233200 in words is "eighty-six million, two hundred thirty-three thousand, two hundred".