87585540 has 144 divisors (see below), whose sum is σ = 294787584. Its totient is φ = 19373760.

The previous prime is 87585517. The next prime is 87585643. The reversal of 87585540 is 4558578.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 87585492 and 87585501.

It is a congruent number.

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, 2825325 + ... + 2825355.

It is an arithmetic number, because the mean of its divisors is an integer number (2047136).

Almost surely, 2^87585540 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 87585540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147393792).

87585540 is an abundant number, since it is smaller than the sum of its proper divisors (207202044).

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

87585540 is a wasteful number, since it uses less digits than its factorization.

87585540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 87585540 is about 9358.7146553360. The cubic root of 87585540 is about 444.0966229127.

The spelling of 87585540 in words is "eighty-seven million, five hundred eighty-five thousand, five hundred forty".