87881584 has 40 divisors (see below), whose sum is σ = 195622400. Its totient is φ = 37464768.

The previous prime is 87881581. The next prime is 87881603. The reversal of 87881584 is 48518878.

87881584 = T₂₁₆ + T₂₁₇ + ... + T₈₁₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87881581) 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, 20317 + ... + 24259.

It is an arithmetic number, because the mean of its divisors is an integer number (4890560).

Almost surely, 2^87881584 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 87881584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97811200).

87881584 is an abundant number, since it is smaller than the sum of its proper divisors (107740816).

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

87881584 is a wasteful number, since it uses less digits than its factorization.

87881584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4151 counting only the distinct ones).

The product of its digits is 573440, while the sum is 49.

The square root of 87881584 is about 9374.5178009325. The cubic root of 87881584 is about 444.5964173249.

The spelling of 87881584 in words is "eighty-seven million, eight hundred eighty-one thousand, five hundred eighty-four".