87540084 has 72 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 28183680.

The previous prime is 87540077. The next prime is 87540091. The reversal of 87540084 is 48004578.

It is an interprime number because it is at equal distance from previous prime (87540077) and next prime (87540091).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187219 + ... + 187685.

It is an arithmetic number, because the mean of its divisors is an integer number (3179904).

Almost surely, 2^87540084 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 87540084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

87540084 is an abundant number, since it is smaller than the sum of its proper divisors (141413004).

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

87540084 is a wasteful number, since it uses less digits than its factorization.

87540084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

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

The square root of 87540084 is about 9356.2858015347. The cubic root of 87540084 is about 444.0197824154.

The spelling of 87540084 in words is "eighty-seven million, five hundred forty thousand, eighty-four".