85410 has 48 divisors (see below), whose sum is σ = 242424. Its totient is φ = 20736.

The previous prime is 85381. The next prime is 85411. The reversal of 85410 is 1458.

85410 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 56169 + 29241 = 237^2 + 171^2 .

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 zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85410.

It is not an unprimeable number, because it can be changed into a prime (85411) by changing a digit.

85410 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 23 ways as a sum of consecutive naturals, for example, 1134 + ... + 1206.

2⁸⁵⁴¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121212).

85410 is an abundant number, since it is smaller than the sum of its proper divisors (157014).

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

85410 is a wasteful number, since it uses less digits than its factorization.

85410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85410 is about 292.2498930710. The cubic root of 85410 is about 44.0388774843.

Adding to 85410 its reverse (1458), we get a palindrome (86868).

The spelling of 85410 in words is "eighty-five thousand, four hundred ten".