86088200 has 96 divisors (see below), whose sum is σ = 220968000. Its totient is φ = 30931200.

The previous prime is 86088173. The next prime is 86088203. The reversal of 86088200 is 288068.

It is a super-2 number, since 2×86088200² = 14822356358480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86088203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239621 + ... + 239979.

It is an arithmetic number, because the mean of its divisors is an integer number (2301750).

Almost surely, 2^86088200 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 86088200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110484000).

86088200 is an abundant number, since it is smaller than the sum of its proper divisors (134879800).

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

86088200 is a wasteful number, since it uses less digits than its factorization.

86088200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 86088200 is about 9278.3727021499. The cubic root of 86088200 is about 441.5513420667.

The spelling of 86088200 in words is "eighty-six million, eighty-eight thousand, two hundred".