865388160 has 576 divisors, whose sum is σ = 3727226880. Its totient is φ = 181149696.

The previous prime is 865388141. The next prime is 865388191. The reversal of 865388160 is 61883568.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6814017 + ... + 6814143.

It is an arithmetic number, because the mean of its divisors is an integer number (6470880).

Almost surely, 2^865388160 is an apocalyptic number.

865388160 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 865388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863613440).

865388160 is an abundant number, since it is smaller than the sum of its proper divisors (2861838720).

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

865388160 is a wasteful number, since it uses less digits than its factorization.

865388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 865388160 is about 29417.4805175426. The cubic root of 865388160 is about 952.9504431171.

The spelling of 865388160 in words is "eight hundred sixty-five million, three hundred eighty-eight thousand, one hundred sixty".