87852168 has 64 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 29102400.

The previous prime is 87852161. The next prime is 87852173. The reversal of 87852168 is 86125878.

It is not an unprimeable number, because it can be changed into a prime (87852161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36193 + ... + 38543.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2^87852168 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 87852168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

87852168 is an abundant number, since it is smaller than the sum of its proper divisors (157696632).

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

87852168 is a wasteful number, since it uses less digits than its factorization.

87852168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2529 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 87852168 is about 9372.9487355901. The cubic root of 87852168 is about 444.5468062191.

The spelling of 87852168 in words is "eighty-seven million, eight hundred fifty-two thousand, one hundred sixty-eight".