261029760 has 192 divisors, whose sum is σ = 873164880. Its totient is φ = 66322432.

The previous prime is 261029749. The next prime is 261029773. The reversal of 261029760 is 67920162.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015552 + ... + 1015808.

Almost surely, 2^261029760 is an apocalyptic number.

261029760 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 261029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436582440).

261029760 is an abundant number, since it is smaller than the sum of its proper divisors (612135120).

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

261029760 is a wasteful number, since it uses less digits than its factorization.

261029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 261029760 is about 16156.4154440272. The cubic root of 261029760 is about 639.0919413847.

The spelling of 261029760 in words is "two hundred sixty-one million, twenty-nine thousand, seven hundred sixty".