260705920 has 128 divisors (see below), whose sum is σ = 660960000. Its totient is φ = 98131968.

The previous prime is 260705917. The next prime is 260705933. The reversal of 260705920 is 29507062.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1309981 + ... + 1310179.

It is an arithmetic number, because the mean of its divisors is an integer number (5163750).

Almost surely, 2^260705920 is an apocalyptic number.

260705920 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 260705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480000).

260705920 is an abundant number, since it is smaller than the sum of its proper divisors (400254080).

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

260705920 is a wasteful number, since it uses less digits than its factorization.

260705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 260705920 is about 16146.3903086727. The cubic root of 260705920 is about 638.8275409049.

The spelling of 260705920 in words is "two hundred sixty million, seven hundred five thousand, nine hundred twenty".