86199552 has 90 divisors (see below), whose sum is σ = 257093298. Its totient is φ = 28726272.

The previous prime is 86199539. The next prime is 86199577. The reversal of 86199552 is 25599168.

86199552 is a `hidden beast` number, since 8 + 6 + 1 + 99 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 14017536 = 8496^2 + 3744^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86199498 and 86199507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18658 + ... + 22814.

Almost surely, 2^86199552 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 86199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128546649).

86199552 is an abundant number, since it is smaller than the sum of its proper divisors (170893746).

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

86199552 is an equidigital number, since it uses as much as digits as its factorization.

86199552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4162 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 86199552 is about 9284.3713842134. The cubic root of 86199552 is about 441.7416369867.

The spelling of 86199552 in words is "eighty-six million, one hundred ninety-nine thousand, five hundred fifty-two".