895638672 has 60 divisors (see below), whose sum is σ = 2520619920. Its totient is φ = 296869824.

The previous prime is 895638649. The next prime is 895638673. The reversal of 895638672 is 276836598.

It is a happy number.

895638672 is a `hidden beast` number, since 8 + 9 + 563 + 8 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (895638673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8403 + ... + 43149.

It is an arithmetic number, because the mean of its divisors is an integer number (42010332).

Almost surely, 2^895638672 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 895638672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260309960).

895638672 is an abundant number, since it is smaller than the sum of its proper divisors (1624981248).

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

895638672 is a wasteful number, since it uses less digits than its factorization.

895638672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34940 (or 34931 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 895638672 is about 29927.2229249558. Note that the first 3 decimals coincide. The cubic root of 895638672 is about 963.9272971920.

The spelling of 895638672 in words is "eight hundred ninety-five million, six hundred thirty-eight thousand, six hundred seventy-two".