865546560 has 168 divisors, whose sum is σ = 3087660576. Its totient is φ = 230791680.

The previous prime is 865546559. The next prime is 865546573. The reversal of 865546560 is 65645568.

It is a happy number.

865546560 is a `hidden beast` number, since 86 + 5 + 5 + 4 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72195 + ... + 83325.

It is an arithmetic number, because the mean of its divisors is an integer number (18378932).

Almost surely, 2^865546560 is an apocalyptic number.

865546560 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 865546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543830288).

865546560 is an abundant number, since it is smaller than the sum of its proper divisors (2222114016).

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

865546560 is a wasteful number, since it uses less digits than its factorization.

865546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11163 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 865546560 is about 29420.1726711452. The cubic root of 865546560 is about 953.0085820149.

The spelling of 865546560 in words is "eight hundred sixty-five million, five hundred forty-six thousand, five hundred sixty".