87188268 has 48 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 27897408.

The previous prime is 87188267. The next prime is 87188279. The reversal of 87188268 is 86288178.

It is not an unprimeable number, because it can be changed into a prime (87188267) 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, 68623 + ... + 69881.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2^87188268 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 87188268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

87188268 is an abundant number, since it is smaller than the sum of its proper divisors (124491732).

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

87188268 is a wasteful number, since it uses less digits than its factorization.

87188268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1492 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 87188268 is about 9337.4658232306. The cubic root of 87188268 is about 443.4241581242.

The spelling of 87188268 in words is "eighty-seven million, one hundred eighty-eight thousand, two hundred sixty-eight".