87831200 has 36 divisors (see below), whose sum is σ = 214419870. Its totient is φ = 35132160.

The previous prime is 87831193. The next prime is 87831209. The reversal of 87831200 is 213878.

It can be written as a sum of positive squares in 3 ways, for example, as 67436944 + 20394256 = 8212^2 + 4516^2 .

It is not an unprimeable number, because it can be changed into a prime (87831209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54095 + ... + 55694.

Almost surely, 2^87831200 is an apocalyptic number.

87831200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87831200 is an abundant number, since it is smaller than the sum of its proper divisors (126588670).

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

87831200 is a wasteful number, since it uses less digits than its factorization.

87831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109809 (or 109796 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 87831200 is about 9371.8301307695. The cubic root of 87831200 is about 444.5114361980.

The spelling of 87831200 in words is "eighty-seven million, eight hundred thirty-one thousand, two hundred".