87581800 has 24 divisors (see below), whose sum is σ = 203628150. Its totient is φ = 35032640.

The previous prime is 87581761. The next prime is 87581801. The reversal of 87581800 is 818578.

It can be written as a sum of positive squares in 3 ways, for example, as 38217124 + 49364676 = 6182^2 + 7026^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87581800.

It is not an unprimeable number, because it can be changed into a prime (87581801) 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, 218755 + ... + 219154.

Almost surely, 2^87581800 is an apocalyptic number.

It is an amenable number.

87581800 is an abundant number, since it is smaller than the sum of its proper divisors (116046350).

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

87581800 is a wasteful number, since it uses less digits than its factorization.

87581800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437925 (or 437916 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 87581800 is about 9358.5148394390. The cubic root of 87581800 is about 444.0903016828.

The spelling of 87581800 in words is "eighty-seven million, five hundred eighty-one thousand, eight hundred".