85164534 has 160 divisors (see below), whose sum is σ = 241496640. Its totient is φ = 21835008.

The previous prime is 85164523. The next prime is 85164539. The reversal of 85164534 is 43546158.

It is a happy number.

85164534 is a `hidden beast` number, since 8 + 5 + 1 + 645 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85164539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 781272 + ... + 781380.

It is an arithmetic number, because the mean of its divisors is an integer number (1509354).

Almost surely, 2^85164534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85164534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120748320).

85164534 is an abundant number, since it is smaller than the sum of its proper divisors (156332106).

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

85164534 is a wasteful number, since it uses less digits than its factorization.

85164534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85164534 is about 9228.4632523514. The cubic root of 85164534 is about 439.9664816065.

The spelling of 85164534 in words is "eighty-five million, one hundred sixty-four thousand, five hundred thirty-four".