87816200 has 24 divisors (see below), whose sum is σ = 204173130. Its totient is φ = 35126400.

The previous prime is 87816187. The next prime is 87816217. The reversal of 87816200 is 261878.

It can be written as a sum of positive squares in 3 ways, for example, as 83210884 + 4605316 = 9122^2 + 2146^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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, 219341 + ... + 219740.

Almost surely, 2^87816200 is an apocalyptic number.

It is an amenable number.

87816200 is an abundant number, since it is smaller than the sum of its proper divisors (116356930).

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

87816200 is a wasteful number, since it uses less digits than its factorization.

87816200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439097 (or 439088 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 87816200 is about 9371.0298260117. The cubic root of 87816200 is about 444.4861298864.

The spelling of 87816200 in words is "eighty-seven million, eight hundred sixteen thousand, two hundred".