87318000 has 600 divisors, whose sum is σ = 400246704. Its totient is φ = 18144000.

The previous prime is 87317983. The next prime is 87318013. The reversal of 87318000 is 81378.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7937995 + ... + 7938005.

Almost surely, 2^87318000 is an apocalyptic number.

87318000 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 87318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200123352).

87318000 is an abundant number, since it is smaller than the sum of its proper divisors (312928704).

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

87318000 is a wasteful number, since it uses less digits than its factorization.

87318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87318000 is about 9344.4100937405. The cubic root of 87318000 is about 443.6439804911.

Adding to 87318000 its reverse (81378), we get a palindrome (87399378).

The spelling of 87318000 in words is "eighty-seven million, three hundred eighteen thousand".