87859800 has 288 divisors, whose sum is σ = 355929600. Its totient is φ = 18973440.

The previous prime is 87859769. The next prime is 87859813. The reversal of 87859800 is 895878.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239217 + ... + 239583.

Almost surely, 2^87859800 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 87859800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177964800).

87859800 is an abundant number, since it is smaller than the sum of its proper divisors (268069800).

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

87859800 is a wasteful number, since it uses less digits than its factorization.

87859800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 87859800 is about 9373.3558558288. The cubic root of 87859800 is about 444.5596789160.

The spelling of 87859800 in words is "eighty-seven million, eight hundred fifty-nine thousand, eight hundred".