86221800 has 192 divisors, whose sum is σ = 339561600. Its totient is φ = 19699200.

The previous prime is 86221789. The next prime is 86221801. The reversal of 86221800 is 812268.

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

It is not an unprimeable number, because it can be changed into a prime (86221801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36660 + ... + 38940.

It is an arithmetic number, because the mean of its divisors is an integer number (1768550).

Almost surely, 2^86221800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169780800).

86221800 is an abundant number, since it is smaller than the sum of its proper divisors (253339800).

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

86221800 is a wasteful number, since it uses less digits than its factorization.

86221800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86221800 is about 9285.5694494199. The cubic root of 86221800 is about 441.7796380448.

The spelling of 86221800 in words is "eighty-six million, two hundred twenty-one thousand, eight hundred".