85470 has 64 divisors (see below), whose sum is σ = 262656. Its totient is φ = 17280.

The previous prime is 85469. The next prime is 85487. The reversal of 85470 is 7458.

85470 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

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

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 85470.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2⁸⁵⁴⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328).

85470 is an abundant number, since it is smaller than the sum of its proper divisors (177186).

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

85470 is a wasteful number, since it uses less digits than its factorization.

85470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 85470 is about 292.3525269260. The cubic root of 85470 is about 44.0491874173.

It can be divided in two parts, 85 and 470, that added together give a palindrome (555).

The spelling of 85470 in words is "eighty-five thousand, four hundred seventy".