895920 has 40 divisors (see below), whose sum is σ = 2778096. Its totient is φ = 238848.

The previous prime is 895913. The next prime is 895927. The reversal of 895920 is 29598.

It is an interprime number because it is at equal distance from previous prime (895913) and next prime (895927).

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 895920.

It is not an unprimeable number, because it can be changed into a prime (895927) by changing a digit.

895920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1627 + ... + 2106.

2⁸⁹⁵⁹²⁰ is an apocalyptic number.

895920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

895920 is an abundant number, since it is smaller than the sum of its proper divisors (1882176).

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

895920 is a wasteful number, since it uses less digits than its factorization.

895920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 895920 is about 946.5305066399. The cubic root of 895920 is about 96.4028212646.

The spelling of 895920 in words is "eight hundred ninety-five thousand, nine hundred twenty".