87210 has 64 divisors (see below), whose sum is σ = 259200. Its totient is φ = 20736.

The previous prime is 87187. The next prime is 87211. The reversal of 87210 is 1278.

87210 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4581 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁸⁷²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

87210 is an abundant number, since it is smaller than the sum of its proper divisors (171990).

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

87210 is a wasteful number, since it uses less digits than its factorization.

87210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 87210 is about 295.3133928558. The cubic root of 87210 is about 44.3460996770.

Adding to 87210 its reverse (1278), we get a palindrome (88488).

The spelling of 87210 in words is "eighty-seven thousand, two hundred ten".