87355584 has 168 divisors, whose sum is σ = 267937488. Its totient is φ = 28200960.

The previous prime is 87355561. The next prime is 87355589. The reversal of 87355584 is 48555378.

It is not an unprimeable number, because it can be changed into a prime (87355589) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 637564 + ... + 637700.

It is an arithmetic number, because the mean of its divisors is an integer number (1594866).

Almost surely, 2^87355584 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 87355584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133968744).

87355584 is an abundant number, since it is smaller than the sum of its proper divisors (180581904).

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

87355584 is a wasteful number, since it uses less digits than its factorization.

87355584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 87355584 is about 9346.4209192610. The cubic root of 87355584 is about 443.7076234346.

The spelling of 87355584 in words is "eighty-seven million, three hundred fifty-five thousand, five hundred eighty-four".