87091800 has 96 divisors (see below), whose sum is σ = 281767680. Its totient is φ = 22211200.

The previous prime is 87091793. The next prime is 87091819. The reversal of 87091800 is 819078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10645 + ... + 16955.

It is an arithmetic number, because the mean of its divisors is an integer number (2935080).

Almost surely, 2^87091800 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 87091800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140883840).

87091800 is an abundant number, since it is smaller than the sum of its proper divisors (194675880).

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

87091800 is a wasteful number, since it uses less digits than its factorization.

87091800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 87091800 is about 9332.2987521832. The cubic root of 87091800 is about 443.2605580255.

The spelling of 87091800 in words is "eighty-seven million, ninety-one thousand, eight hundred".