260960544 has 144 divisors (see below), whose sum is σ = 816746112. Its totient is φ = 78534144.

The previous prime is 260960527. The next prime is 260960561. The reversal of 260960544 is 445069062.

260960544 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 605 + 44 = 666.

260960544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260960527) and next prime (260960561).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 260960499 and 260960508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175227 + ... + 176709.

It is an arithmetic number, because the mean of its divisors is an integer number (5671848).

Almost surely, 2^260960544 is an apocalyptic number.

260960544 is a gapful number since it is divisible by the number (24) 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 260960544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408373056).

260960544 is an abundant number, since it is smaller than the sum of its proper divisors (555785568).

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

260960544 is a wasteful number, since it uses less digits than its factorization.

260960544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 260960544 is about 16154.2732427058. The cubic root of 260960544 is about 639.0354480838.

The spelling of 260960544 in words is "two hundred sixty million, nine hundred sixty thousand, five hundred forty-four".