260279712 has 288 divisors, whose sum is σ = 940028544. Its totient is φ = 66908160.

The previous prime is 260279653. The next prime is 260279713. The reversal of 260279712 is 217972062.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260279713) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2683248 + ... + 2683344.

It is an arithmetic number, because the mean of its divisors is an integer number (3263988).

Almost surely, 2^260279712 is an apocalyptic number.

260279712 is a gapful number since it is divisible by the number (22) 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 260279712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470014272).

260279712 is an abundant number, since it is smaller than the sum of its proper divisors (679748832).

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

260279712 is a wasteful number, since it uses less digits than its factorization.

260279712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 260279712 is about 16133.1866660000. The cubic root of 260279712 is about 638.4792277347.

It can be divided in two parts, 260 and 279712, that added together give a palindrome (279972).

The spelling of 260279712 in words is "two hundred sixty million, two hundred seventy-nine thousand, seven hundred twelve".