87540 has 24 divisors (see below), whose sum is σ = 245280. Its totient is φ = 23328.

The previous prime is 87539. The next prime is 87541. The reversal of 87540 is 4578.

It is an interprime number because it is at equal distance from previous prime (87539) and next prime (87541).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (10220).

2⁸⁷⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

87540 is an abundant number, since it is smaller than the sum of its proper divisors (157740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122640).

87540 is a wasteful number, since it uses less digits than its factorization.

87540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 87540 is about 295.8715937700. The cubic root of 87540 is about 44.4019640394.

The spelling of 87540 in words is "eighty-seven thousand, five hundred forty".