261593568 has 72 divisors (see below), whose sum is σ = 745473456. Its totient is φ = 87014400.

The previous prime is 261593567. The next prime is 261593573. The reversal of 261593568 is 865395162.

261593568 is a `hidden beast` number, since 2 + 6 + 1 + 593 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261593561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253213 + ... + 254243.

It is an arithmetic number, because the mean of its divisors is an integer number (10353798).

Almost surely, 2^261593568 is an apocalyptic number.

It is an amenable number.

261593568 is an abundant number, since it is smaller than the sum of its proper divisors (483879888).

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

261593568 is a wasteful number, since it uses less digits than its factorization.

261593568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1917 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 261593568 is about 16173.8544571169. The cubic root of 261593568 is about 639.5517434056.

The spelling of 261593568 in words is "two hundred sixty-one million, five hundred ninety-three thousand, five hundred sixty-eight".