85325184 has 128 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 24371712.

The previous prime is 85325137. The next prime is 85325189. The reversal of 85325184 is 48152358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85325189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22429 + ... + 25955.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^85325184 is an apocalyptic number.

85325184 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 85325184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

85325184 is an abundant number, since it is smaller than the sum of its proper divisors (202559616).

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

85325184 is a wasteful number, since it uses less digits than its factorization.

85325184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3539 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 85325184 is about 9237.1632008967. The cubic root of 85325184 is about 440.2429512264.

The spelling of 85325184 in words is "eighty-five million, three hundred twenty-five thousand, one hundred eighty-four".