86555200 has 84 divisors (see below), whose sum is σ = 217700352. Its totient is φ = 33856000.

The previous prime is 86555197. The next prime is 86555219. The reversal of 86555200 is 255568.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74625 + ... + 75775.

Almost surely, 2^86555200 is an apocalyptic number.

86555200 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 86555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108850176).

86555200 is an abundant number, since it is smaller than the sum of its proper divisors (131145152).

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

86555200 is a wasteful number, since it uses less digits than its factorization.

86555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 86555200 is about 9303.5047159659. The cubic root of 86555200 is about 442.3483259844.

It can be divided in two parts, 865 and 55200, that added together give a palindrome (56065).

The spelling of 86555200 in words is "eighty-six million, five hundred fifty-five thousand, two hundred".