895285680 has 160 divisors (see below), whose sum is σ = 2887315200. Its totient is φ = 229211136.

The previous prime is 895285669. The next prime is 895285711. The reversal of 895285680 is 86582598.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136511 + ... + 2136929.

It is an arithmetic number, because the mean of its divisors is an integer number (18045720).

Almost surely, 2^895285680 is an apocalyptic number.

895285680 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 895285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443657600).

895285680 is an abundant number, since it is smaller than the sum of its proper divisors (1992029520).

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

895285680 is a wasteful number, since it uses less digits than its factorization.

895285680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The square root of 895285680 is about 29921.3248369787. The cubic root of 895285680 is about 963.8006451741.

The spelling of 895285680 in words is "eight hundred ninety-five million, two hundred eighty-five thousand, six hundred eighty".