85464 has 24 divisors (see below), whose sum is σ = 231660. Its totient is φ = 28464.

The previous prime is 85453. The next prime is 85469. The reversal of 85464 is 46458.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85469) by changing a digit.

85464 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 5 ways as a sum of consecutive naturals, for example, 522 + ... + 665.

2⁸⁵⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

85464 is an abundant number, since it is smaller than the sum of its proper divisors (146196).

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

85464 is a wasteful number, since it uses less digits than its factorization.

85464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1192 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 85464 is about 292.3422651619. The cubic root of 85464 is about 44.0481566412.

Adding to 85464 its sum of digits (27), we get a triangular number (85491 = T₄₁₃).

The spelling of 85464 in words is "eighty-five thousand, four hundred sixty-four".