87891200 has 108 divisors (see below), whose sum is σ = 225068928. Its totient is φ = 33945600.

The previous prime is 87891163. The next prime is 87891227. The reversal of 87891200 is 219878.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 198179 + ... + 198621.

Almost surely, 2^87891200 is an apocalyptic number.

87891200 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 87891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112534464).

87891200 is an abundant number, since it is smaller than the sum of its proper divisors (137177728).

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

87891200 is a wasteful number, since it uses less digits than its factorization.

87891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 87891200 is about 9375.0306666165. The cubic root of 87891200 is about 444.6126326419.

The spelling of 87891200 in words is "eighty-seven million, eight hundred ninety-one thousand, two hundred".