260160320 has 224 divisors, whose sum is σ = 754245888. Its totient is φ = 83607552.

The previous prime is 260160319. The next prime is 260160349. The reversal of 260160320 is 23061062.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 260160292 and 260160301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3563804 + ... + 3563876.

Almost surely, 2^260160320 is an apocalyptic number.

260160320 is a gapful number since it is divisible by the number (20) 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 260160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377122944).

260160320 is an abundant number, since it is smaller than the sum of its proper divisors (494085568).

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

260160320 is a wasteful number, since it uses less digits than its factorization.

260160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 260160320 is about 16129.4860426487. The cubic root of 260160320 is about 638.3815879431.

The spelling of 260160320 in words is "two hundred sixty million, one hundred sixty thousand, three hundred twenty".