87578568 has 96 divisors (see below), whose sum is σ = 295738560. Its totient is φ = 22746240.

The previous prime is 87578563. The next prime is 87578587. The reversal of 87578568 is 86587578.

It is a happy number.

87578568 is a `hidden beast` number, since 8 + 7 + 5 + 78 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (87578563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2355 + ... + 13442.

It is an arithmetic number, because the mean of its divisors is an integer number (3080610).

Almost surely, 2^87578568 is an apocalyptic number.

87578568 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 87578568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147869280).

87578568 is an abundant number, since it is smaller than the sum of its proper divisors (208159992).

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

87578568 is a wasteful number, since it uses less digits than its factorization.

87578568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827 (or 15820 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The square root of 87578568 is about 9358.3421608744. The cubic root of 87578568 is about 444.0848389135.

The spelling of 87578568 in words is "eighty-seven million, five hundred seventy-eight thousand, five hundred sixty-eight".