865724160 has 432 divisors, whose sum is σ = 3321876096. Its totient is φ = 191471616.

The previous prime is 865724149. The next prime is 865724177. The reversal of 865724160 is 61427568.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8090827 + ... + 8090933.

It is an arithmetic number, because the mean of its divisors is an integer number (7689528).

Almost surely, 2^865724160 is an apocalyptic number.

865724160 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 865724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660938048).

865724160 is an abundant number, since it is smaller than the sum of its proper divisors (2456151936).

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

865724160 is a wasteful number, since it uses less digits than its factorization.

865724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 865724160 is about 29423.1908534747. The cubic root of 865724160 is about 953.0737596175.

The spelling of 865724160 in words is "eight hundred sixty-five million, seven hundred twenty-four thousand, one hundred sixty".