895800 has 48 divisors (see below), whose sum is σ = 2778840. Its totient is φ = 238720.

The previous prime is 895799. The next prime is 895801. The reversal of 895800 is 8598.

It is an interprime number because it is at equal distance from previous prime (895799) and next prime (895801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895801) 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 11 ways as a sum of consecutive naturals, for example, 147 + ... + 1346.

2⁸⁹⁵⁸⁰⁰ 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 895800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389420).

895800 is an abundant number, since it is smaller than the sum of its proper divisors (1883040).

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

895800 is a wasteful number, since it uses less digits than its factorization.

895800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 895800 is about 946.4671151181. The cubic root of 895800 is about 96.3985169908.

The spelling of 895800 in words is "eight hundred ninety-five thousand, eight hundred".