87111288 has 160 divisors (see below), whose sum is σ = 271030320. Its totient is φ = 26136000.

The previous prime is 87111263. The next prime is 87111289. The reversal of 87111288 is 88211178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87111289) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 862438 + ... + 862538.

Almost surely, 2^87111288 is an apocalyptic number.

87111288 is a gapful number since it is divisible by the number (88) 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 87111288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135515160).

87111288 is an abundant number, since it is smaller than the sum of its proper divisors (183919032).

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

87111288 is a wasteful number, since it uses less digits than its factorization.

87111288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The square root of 87111288 is about 9333.3428095190. The cubic root of 87111288 is about 443.2936174621.

It can be divided in two parts, 8711 and 1288, that added together give a palindrome (9999).

The spelling of 87111288 in words is "eighty-seven million, one hundred eleven thousand, two hundred eighty-eight".