261576560 has 40 divisors (see below), whose sum is σ = 695047776. Its totient is φ = 89683200.

The previous prime is 261576541. The next prime is 261576583. The reversal of 261576560 is 65675162.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 232991 + ... + 234110.

Almost surely, 2^261576560 is an apocalyptic number.

261576560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261576560 is an abundant number, since it is smaller than the sum of its proper divisors (433471216).

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

261576560 is a wasteful number, since it uses less digits than its factorization.

261576560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467121 (or 467115 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 261576560 is about 16173.3286617196. The cubic root of 261576560 is about 639.5378825503.

The spelling of 261576560 in words is "two hundred sixty-one million, five hundred seventy-six thousand, five hundred sixty".