87460 has 12 divisors (see below), whose sum is σ = 183708. Its totient is φ = 34976.

The previous prime is 87443. The next prime is 87473. The reversal of 87460 is 6478.

87460 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 46656 = 202^2 + 216^2 .

It is a congruent number.

It is an unprimeable number.

87460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2167 + ... + 2206.

It is an arithmetic number, because the mean of its divisors is an integer number (15309).

2⁸⁷⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

87460 is an abundant number, since it is smaller than the sum of its proper divisors (96248).

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 (91854).

87460 is a wasteful number, since it uses less digits than its factorization.

87460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 87460 is about 295.7363690857. The cubic root of 87460 is about 44.3884340731.

Adding to 87460 its product of nonzero digits (1344), we get a square (88804 = 298²).

The spelling of 87460 in words is "eighty-seven thousand, four hundred sixty".