87445800 has 288 divisors, whose sum is σ = 328025880. Its totient is φ = 20736000.

The previous prime is 87445781. The next prime is 87445829. The reversal of 87445800 is 854478.

87445800 is a `hidden beast` number, since 8 + 74 + 4 + 580 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25948836 + 61496964 = 5094^2 + 7842^2 .

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 71 ways as a sum of consecutive naturals, for example, 865750 + ... + 865850.

Almost surely, 2^87445800 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 87445800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164012940).

87445800 is an abundant number, since it is smaller than the sum of its proper divisors (240580080).

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

87445800 is a wasteful number, since it uses less digits than its factorization.

87445800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 87445800 is about 9351.2459062951. The cubic root of 87445800 is about 443.8603164201.

The spelling of 87445800 in words is "eighty-seven million, four hundred forty-five thousand, eight hundred".