87618 has 16 divisors (see below), whose sum is σ = 185760. Its totient is φ = 27456.

The previous prime is 87613. The next prime is 87623. The reversal of 87618 is 81678.

It is an interprime number because it is at equal distance from previous prime (87613) and next prime (87623).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87618.

It is not an unprimeable number, because it can be changed into a prime (87613) by changing a digit.

87618 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (11610).

2⁸⁷⁶¹⁸ is an apocalyptic number.

87618 is an abundant number, since it is smaller than the sum of its proper divisors (98142).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92880).

87618 is a wasteful number, since it uses less digits than its factorization.

87618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its digits is 2688, while the sum is 30.

The square root of 87618 is about 296.0033783591. The cubic root of 87618 is about 44.4151478223.

It can be divided in two parts, 8 and 7618, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 87618 in words is "eighty-seven thousand, six hundred eighteen".