260838720 has 252 divisors, whose sum is σ = 939029364. Its totient is φ = 66416640.

The previous prime is 260838719. The next prime is 260838727. The reversal of 260838720 is 27838062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 215032896 = 6768^2 + 14664^2 .

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 (260838727) 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 35 ways as a sum of consecutive naturals, for example, 5549737 + ... + 5549783.

It is an arithmetic number, because the mean of its divisors is an integer number (3726307).

Almost surely, 2^260838720 is an apocalyptic number.

260838720 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 260838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469514682).

260838720 is an abundant number, since it is smaller than the sum of its proper divisors (678190644).

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

260838720 is a wasteful number, since it uses less digits than its factorization.

260838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 260838720 is about 16150.5021593757. The cubic root of 260838720 is about 638.9359924719.

It can be divided in two parts, 2608 and 38720, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 260838720 in words is "two hundred sixty million, eight hundred thirty-eight thousand, seven hundred twenty".