87588540 has 120 divisors (see below), whose sum is σ = 295975680. Its totient is φ = 21555072.

The previous prime is 87588521. The next prime is 87588551. The reversal of 87588540 is 4588578.

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 39 ways as a sum of consecutive naturals, for example, 18981 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (2466464).

Almost surely, 2^87588540 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 87588540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147987840).

87588540 is an abundant number, since it is smaller than the sum of its proper divisors (208387140).

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

87588540 is a wasteful number, since it uses less digits than its factorization.

87588540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 87588540 is about 9358.8749323837. The cubic root of 87588540 is about 444.1016932879.

The spelling of 87588540 in words is "eighty-seven million, five hundred eighty-eight thousand, five hundred forty".