85144164 has 72 divisors (see below), whose sum is σ = 233845920. Its totient is φ = 24038784.

The previous prime is 85144153. The next prime is 85144181. The reversal of 85144164 is 46144158.

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 23 ways as a sum of consecutive naturals, for example, 51519 + ... + 53145.

It is an arithmetic number, because the mean of its divisors is an integer number (3247860).

Almost surely, 2^85144164 is an apocalyptic number.

85144164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85144164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922960).

85144164 is an abundant number, since it is smaller than the sum of its proper divisors (148701756).

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

85144164 is a wasteful number, since it uses less digits than its factorization.

85144164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 85144164 is about 9227.3595356418. The cubic root of 85144164 is about 439.9314011513.

The spelling of 85144164 in words is "eighty-five million, one hundred forty-four thousand, one hundred sixty-four".