87111680 has 96 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 33914880.

The previous prime is 87111677. The next prime is 87111691. The reversal of 87111680 is 8611178.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481190 + ... + 481370.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^87111680 is an apocalyptic number.

87111680 is a gapful number since it is divisible by the number (80) 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 87111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

87111680 is an abundant number, since it is smaller than the sum of its proper divisors (127531840).

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

87111680 is a wasteful number, since it uses less digits than its factorization.

87111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 87111680 is about 9333.3638094741. The cubic root of 87111680 is about 443.2942824002.

The spelling of 87111680 in words is "eighty-seven million, one hundred eleven thousand, six hundred eighty".