895068960 has 96 divisors (see below), whose sum is σ = 2827706112. Its totient is φ = 237987840.

The previous prime is 895068947. The next prime is 895068971. The reversal of 895068960 is 69860598.

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

It is a super-2 number, since 2×895068960² = 1602296886310963200, which contains 22 as substring.

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, 173620 + ... + 178700.

It is an arithmetic number, because the mean of its divisors is an integer number (29455272).

Almost surely, 2^895068960 is an apocalyptic number.

895068960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413853056).

895068960 is an abundant number, since it is smaller than the sum of its proper divisors (1932637152).

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

895068960 is a wasteful number, since it uses less digits than its factorization.

895068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 895068960 is about 29917.7031203935. The cubic root of 895068960 is about 963.7228704716.

The spelling of 895068960 in words is "eight hundred ninety-five million, sixty-eight thousand, nine hundred sixty".