87852504 has 128 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 26127360.

The previous prime is 87852497. The next prime is 87852517. The reversal of 87852504 is 40525878.

It is a super-3 number, since 3×87852504³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 691689 + ... + 691815.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^87852504 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 87852504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

87852504 is an abundant number, since it is smaller than the sum of its proper divisors (157293096).

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

87852504 is a wasteful number, since it uses less digits than its factorization.

87852504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 87852504 is about 9372.9666594947. The cubic root of 87852504 is about 444.5473729573.

The spelling of 87852504 in words is "eighty-seven million, eight hundred fifty-two thousand, five hundred four".