895680 has 84 divisors (see below), whose sum is σ = 3090672. Its totient is φ = 238080.

The previous prime is 895673. The next prime is 895681. The reversal of 895680 is 86598.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (895681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2725 + ... + 3035.

2⁸⁹⁵⁶⁸⁰ is an apocalyptic number.

895680 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 895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545336).

895680 is an abundant number, since it is smaller than the sum of its proper divisors (2194992).

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

895680 is a wasteful number, since it uses less digits than its factorization.

895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 895680 is about 946.4037193503. The cubic root of 895680 is about 96.3942123325.

The spelling of 895680 in words is "eight hundred ninety-five thousand, six hundred eighty".