860816160 has 240 divisors, whose sum is σ = 3067739136. Its totient is φ = 227308032.

The previous prime is 860816123. The next prime is 860816161. The reversal of 860816160 is 61618068.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×860816160² = 1482008922634291200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (860816161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1645659 + ... + 1646181.

Almost surely, 2^860816160 is an apocalyptic number.

860816160 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 860816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533869568).

860816160 is an abundant number, since it is smaller than the sum of its proper divisors (2206922976).

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

860816160 is a wasteful number, since it uses less digits than its factorization.

860816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 860816160 is about 29339.6687097861. The cubic root of 860816160 is about 951.2692766114.

The spelling of 860816160 in words is "eight hundred sixty million, eight hundred sixteen thousand, one hundred sixty".