260709120 has 432 divisors, whose sum is σ = 1067556672. Its totient is φ = 57507840.

The previous prime is 260709109. The next prime is 260709121. The reversal of 260709120 is 21907062.

It is not an unprimeable number, because it can be changed into a prime (260709121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4273890 + ... + 4273950.

It is an arithmetic number, because the mean of its divisors is an integer number (2471196).

Almost surely, 2^260709120 is an apocalyptic number.

260709120 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 260709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533778336).

260709120 is an abundant number, since it is smaller than the sum of its proper divisors (806847552).

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

260709120 is a wasteful number, since it uses less digits than its factorization.

260709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 260709120 is about 16146.4894017245. The cubic root of 260709120 is about 638.8301546286.

The spelling of 260709120 in words is "two hundred sixty million, seven hundred nine thousand, one hundred twenty".