895384896 has 112 divisors (see below), whose sum is σ = 2773680000. Its totient is φ = 249569280.

The previous prime is 895384879. The next prime is 895384909. The reversal of 895384896 is 698483598.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×895384896² = 1603428223969861632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46980 + ... + 63228.

It is an arithmetic number, because the mean of its divisors is an integer number (24765000).

Almost surely, 2^895384896 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 895384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386840000).

895384896 is an abundant number, since it is smaller than the sum of its proper divisors (1878295104).

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

895384896 is a wasteful number, since it uses less digits than its factorization.

895384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16312 (or 16302 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 60.

The square root of 895384896 is about 29922.9827390252. The cubic root of 895384896 is about 963.8362468130.

The spelling of 895384896 in words is "eight hundred ninety-five million, three hundred eighty-four thousand, eight hundred ninety-six".