86443200 has 420 divisors, whose sum is σ = 342991440. Its totient is φ = 21288960.

The previous prime is 86443183. The next prime is 86443219. The reversal of 86443200 is 234468.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980786 + ... + 2980814.

Almost surely, 2^86443200 is an apocalyptic number.

86443200 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 86443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171495720).

86443200 is an abundant number, since it is smaller than the sum of its proper divisors (256548240).

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

86443200 is a wasteful number, since it uses less digits than its factorization.

86443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86443200 is about 9297.4835305044. The cubic root of 86443200 is about 442.1574481901.

Adding to 86443200 its reverse (234468), we get a palindrome (86677668).

The spelling of 86443200 in words is "eighty-six million, four hundred forty-three thousand, two hundred".