865971360 has 288 divisors, whose sum is σ = 3214149120. Its totient is φ = 211507200.

The previous prime is 865971317. The next prime is 865971361. The reversal of 865971360 is 63179568.

It is a happy number.

865971360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (865971361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847650 + ... + 848670.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2^865971360 is an apocalyptic number.

865971360 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 865971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

865971360 is an abundant number, since it is smaller than the sum of its proper divisors (2348177760).

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

865971360 is a wasteful number, since it uses less digits than its factorization.

865971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 865971360 is about 29427.3913216921. The cubic root of 865971360 is about 953.1644649573.

The spelling of 865971360 in words is "eight hundred sixty-five million, nine hundred seventy-one thousand, three hundred sixty".