895200 has 72 divisors (see below), whose sum is σ = 2921688. Its totient is φ = 238080.

The previous prime is 895189. The next prime is 895211. The reversal of 895200 is 2598.

It is an interprime number because it is at equal distance from previous prime (895189) and next prime (895211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214 + ... + 2586.

It is an arithmetic number, because the mean of its divisors is an integer number (40579).

2⁸⁹⁵²⁰⁰ is an apocalyptic number.

895200 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 895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460844).

895200 is an abundant number, since it is smaller than the sum of its proper divisors (2026488).

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

895200 is a wasteful number, since it uses less digits than its factorization.

895200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 895200 is about 946.1500938012. The cubic root of 895200 is about 96.3769898536.

Adding to 895200 its reverse (2598), we get a palindrome (897798).

The spelling of 895200 in words is "eight hundred ninety-five thousand, two hundred".