895016961 has 24 divisors (see below), whose sum is σ = 1322717760. Its totient is φ = 582994656.

The previous prime is 895016933. The next prime is 895016981. The reversal of 895016961 is 169610598.

895016961 is a `hidden beast` number, since 89 + 501 + 6 + 9 + 61 = 666.

It is not a de Polignac number, because 895016961 - 2⁶ = 895016897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (895016981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83631 + ... + 93723.

It is an arithmetic number, because the mean of its divisors is an integer number (55113240).

Almost surely, 2^895016961 is an apocalyptic number.

It is an amenable number.

895016961 is a deficient number, since it is larger than the sum of its proper divisors (427700799).

895016961 is a wasteful number, since it uses less digits than its factorization.

895016961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 895016961 is about 29916.8340738120. The cubic root of 895016961 is about 963.7042076281.

The spelling of 895016961 in words is "eight hundred ninety-five million, sixteen thousand, nine hundred sixty-one".