87188992 has 80 divisors (see below), whose sum is σ = 193126032. Its totient is φ = 38993920.

The previous prime is 87188953. The next prime is 87188999. The reversal of 87188992 is 29988178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87188999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636348 + ... + 636484.

Almost surely, 2^87188992 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 87188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96563016).

87188992 is an abundant number, since it is smaller than the sum of its proper divisors (105937040).

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

87188992 is a wasteful number, since it uses less digits than its factorization.

87188992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its digits is 580608, while the sum is 52.

The square root of 87188992 is about 9337.5045916990. The cubic root of 87188992 is about 443.4253854996.

The spelling of 87188992 in words is "eighty-seven million, one hundred eighty-eight thousand, nine hundred ninety-two".