865120 has 24 divisors (see below), whose sum is σ = 2044224. Its totient is φ = 345984.

The previous prime is 865103. The next prime is 865121. The reversal of 865120 is 21568.

865120 = T₂₂₅ + T₂₂₆ + ... + T₂₅₄.

It is a happy number.

It is a super-2 number, since 2×865120² = 1496865228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 865091 and 865100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2544 + ... + 2863.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

2⁸⁶⁵¹²⁰ is an apocalyptic number.

865120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

865120 is an abundant number, since it is smaller than the sum of its proper divisors (1179104).

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

865120 is a wasteful number, since it uses less digits than its factorization.

865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 865120 is about 930.1182720493. The cubic root of 865120 is about 95.2852001900.

Adding to 865120 its reverse (21568), we get a palindrome (886688).

The spelling of 865120 in words is "eight hundred sixty-five thousand, one hundred twenty".