87955800 has 96 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 22948480.

The previous prime is 87955799. The next prime is 87955823. The reversal of 87955800 is 855978.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 26641 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^87955800 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 87955800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

87955800 is an abundant number, since it is smaller than the sum of its proper divisors (190597800).

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

87955800 is a wasteful number, since it uses less digits than its factorization.

87955800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 87955800 is about 9378.4753558348. The cubic root of 87955800 is about 444.7215360060.

The spelling of 87955800 in words is "eighty-seven million, nine hundred fifty-five thousand, eight hundred".