86227200 has 216 divisors, whose sum is σ = 316820000. Its totient is φ = 22947840.

The previous prime is 86227199. The next prime is 86227243. The reversal of 86227200 is 272268.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×86227200³ (a number of 25 digits) contains 333 as substring.

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

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, 172551 + ... + 173049.

Almost surely, 2^86227200 is an apocalyptic number.

86227200 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 86227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158410000).

86227200 is an abundant number, since it is smaller than the sum of its proper divisors (230592800).

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

86227200 is a wasteful number, since it uses less digits than its factorization.

86227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 86227200 is about 9285.8602186335. The cubic root of 86227200 is about 441.7888606167.

Adding to 86227200 its reverse (272268), we get a palindrome (86499468).

The spelling of 86227200 in words is "eighty-six million, two hundred twenty-seven thousand, two hundred".