865640160 has 576 divisors, whose sum is σ = 3800369664. Its totient is φ = 174182400.

The previous prime is 865640159. The next prime is 865640179. The reversal of 865640160 is 61046568.

865640160 is a `hidden beast` number, since 8 + 6 + 5 + 640 + 1 + 6 + 0 = 666.

865640160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4102455 + ... + 4102665.

It is an arithmetic number, because the mean of its divisors is an integer number (6597864).

Almost surely, 2^865640160 is an apocalyptic number.

865640160 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 865640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900184832).

865640160 is an abundant number, since it is smaller than the sum of its proper divisors (2934729504).

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

865640160 is a wasteful number, since it uses less digits than its factorization.

865640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 865640160 is about 29421.7633733942. The cubic root of 865640160 is about 953.0429334841.

The spelling of 865640160 in words is "eight hundred sixty-five million, six hundred forty thousand, one hundred sixty".