87288608 has 96 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 35983360.

The previous prime is 87288569. The next prime is 87288613. The reversal of 87288608 is 80688278.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173285 + ... + 173787.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^87288608 is an apocalyptic number.

87288608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

87288608 is an abundant number, since it is smaller than the sum of its proper divisors (118464352).

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

87288608 is a wasteful number, since it uses less digits than its factorization.

87288608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The square root of 87288608 is about 9342.8372564227. The cubic root of 87288608 is about 443.5941967610.

The spelling of 87288608 in words is "eighty-seven million, two hundred eighty-eight thousand, six hundred eight".