261876560 has 80 divisors (see below), whose sum is σ = 666653760. Its totient is φ = 94878720.

The previous prime is 261876523. The next prime is 261876569. The reversal of 261876560 is 65678162.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261876569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 459956 + ... + 460524.

It is an arithmetic number, because the mean of its divisors is an integer number (8333172).

Almost surely, 2^261876560 is an apocalyptic number.

261876560 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 261876560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333326880).

261876560 is an abundant number, since it is smaller than the sum of its proper divisors (404777200).

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

261876560 is a wasteful number, since it uses less digits than its factorization.

261876560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 261876560 is about 16182.6005326709. The cubic root of 261876560 is about 639.7822827155.

The spelling of 261876560 in words is "two hundred sixty-one million, eight hundred seventy-six thousand, five hundred sixty".