895664 has 40 divisors (see below), whose sum is σ = 2166528. Its totient is φ = 348480.

The previous prime is 895651. The next prime is 895667. The reversal of 895664 is 466598.

895664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 895664.

It is not an unprimeable number, because it can be changed into a prime (895667) by changing a digit.

895664 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, 869 + ... + 1595.

2⁸⁹⁵⁶⁶⁴ 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 895664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083264).

895664 is an abundant number, since it is smaller than the sum of its proper divisors (1270864).

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

895664 is a wasteful number, since it uses less digits than its factorization.

895664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 895664 is about 946.3952662604. The cubic root of 895664 is about 96.3936383490.

The spelling of 895664 in words is "eight hundred ninety-five thousand, six hundred sixty-four".