86641200 has 180 divisors, whose sum is σ = 308527128. Its totient is φ = 22502400.

The previous prime is 86641199. The next prime is 86641201. The reversal of 86641200 is 214668.

It is an interprime number because it is at equal distance from previous prime (86641199) and next prime (86641201).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (86641201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147307 + ... + 147893.

Almost surely, 2^86641200 is an apocalyptic number.

86641200 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 86641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154263564).

86641200 is an abundant number, since it is smaller than the sum of its proper divisors (221885928).

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

86641200 is a wasteful number, since it uses less digits than its factorization.

86641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86641200 is about 9308.1254826093. The cubic root of 86641200 is about 442.4947811316.

Adding to 86641200 its reverse (214668), we get a palindrome (86855868).

The spelling of 86641200 in words is "eighty-six million, six hundred forty-one thousand, two hundred".