87095200 has 36 divisors (see below), whose sum is σ = 212623110. Its totient is φ = 34837760.

The previous prime is 87095191. The next prime is 87095237. The reversal of 87095200 is 259078.

It can be written as a sum of positive squares in 3 ways, for example, as 67699984 + 19395216 = 8228^2 + 4404^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 53635 + ... + 55234.

Almost surely, 2^87095200 is an apocalyptic number.

87095200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87095200 is an abundant number, since it is smaller than the sum of its proper divisors (125527910).

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

87095200 is a wasteful number, since it uses less digits than its factorization.

87095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108889 (or 108876 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 87095200 is about 9332.4809134549. The cubic root of 87095200 is about 443.2663261395.

The spelling of 87095200 in words is "eighty-seven million, ninety-five thousand, two hundred".