86023200 has 144 divisors (see below), whose sum is σ = 284419296. Its totient is φ = 22579200.

The previous prime is 86023183. The next prime is 86023219. The reversal of 86023200 is 232068.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174955 + ... + 175445.

It is an arithmetic number, because the mean of its divisors is an integer number (1975134).

Almost surely, 2^86023200 is an apocalyptic number.

86023200 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 86023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142209648).

86023200 is an abundant number, since it is smaller than the sum of its proper divisors (198396096).

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

86023200 is a wasteful number, since it uses less digits than its factorization.

86023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 86023200 is about 9274.8692713159. The cubic root of 86023200 is about 441.4401845031.

Adding to 86023200 its reverse (232068), we get a palindrome (86255268).

The spelling of 86023200 in words is "eighty-six million, twenty-three thousand, two hundred".