865360 has 40 divisors (see below), whose sum is σ = 2086920. Its totient is φ = 333312.

The previous prime is 865357. The next prime is 865363. The reversal of 865360 is 63568.

It is an interprime number because it is at equal distance from previous prime (865357) and next prime (865363).

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 760384 = 324^2 + 872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134 + ... + 2506.

It is an arithmetic number, because the mean of its divisors is an integer number (52173).

2⁸⁶⁵³⁶⁰ is an apocalyptic number.

865360 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 865360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043460).

865360 is an abundant number, since it is smaller than the sum of its proper divisors (1221560).

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

865360 is a wasteful number, since it uses less digits than its factorization.

865360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 865360 is about 930.2472789533. The cubic root of 865360 is about 95.2940106570.

It can be divided in two parts, 865 and 360, that added together give a triangular number (1225 = T₄₉).

The spelling of 865360 in words is "eight hundred sixty-five thousand, three hundred sixty".