895584 has 48 divisors (see below), whose sum is σ = 2479680. Its totient is φ = 282240.

The previous prime is 895579. The next prime is 895591. The reversal of 895584 is 485598.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

895584 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 7 ways as a sum of consecutive naturals, for example, 1579 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

2⁸⁹⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840).

895584 is an abundant number, since it is smaller than the sum of its proper divisors (1584096).

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

895584 is a wasteful number, since it uses less digits than its factorization.

895584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 895584 is about 946.3529996782. The cubic root of 895584 is about 96.3907683291.

The spelling of 895584 in words is "eight hundred ninety-five thousand, five hundred eighty-four".