87855300 has 144 divisors (see below), whose sum is σ = 304286080. Its totient is φ = 21617280.

The previous prime is 87855277. The next prime is 87855319. The reversal of 87855300 is 355878.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 33849 + ... + 36351.

Almost surely, 2^87855300 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 87855300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152143040).

87855300 is an abundant number, since it is smaller than the sum of its proper divisors (216430780).

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

87855300 is a wasteful number, since it uses less digits than its factorization.

87855300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 87855300 is about 9373.1158106576. The cubic root of 87855300 is about 444.5520889727.

The spelling of 87855300 in words is "eighty-seven million, eight hundred fifty-five thousand, three hundred".