860161680 has 560 divisors, whose sum is σ = 3578044800. Its totient is φ = 192036096.

The previous prime is 860161667. The next prime is 860161693. The reversal of 860161680 is 86161068.

It is an interprime number because it is at equal distance from previous prime (860161667) and next prime (860161693).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20003739 + ... + 20003781.

Almost surely, 2^860161680 is an apocalyptic number.

860161680 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 860161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789022400).

860161680 is an abundant number, since it is smaller than the sum of its proper divisors (2717883120).

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

860161680 is an equidigital number, since it uses as much as digits as its factorization.

860161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

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

The square root of 860161680 is about 29328.5130888015. The cubic root of 860161680 is about 951.0281316002.

The spelling of 860161680 in words is "eight hundred sixty million, one hundred sixty-one thousand, six hundred eighty".