895968 has 96 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 276480.

The previous prime is 895957. The next prime is 895987. The reversal of 895968 is 869598.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

895968 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 14658 + ... + 14718.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁸⁹⁵⁹⁶⁸ 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 895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

895968 is an abundant number, since it is smaller than the sum of its proper divisors (1916352).

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

895968 is a wasteful number, since it uses less digits than its factorization.

895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 895968 is about 946.5558620599. Note that the first 3 decimals coincide. The cubic root of 895968 is about 96.4045428666.

The spelling of 895968 in words is "eight hundred ninety-five thousand, nine hundred sixty-eight".