260577360 has 240 divisors, whose sum is σ = 944470800. Its totient is φ = 64143360.

The previous prime is 260577337. The next prime is 260577391. The reversal of 260577360 is 63775062.

It is a happy number.

260577360 is a `hidden beast` number, since 26 + 0 + 577 + 3 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2782224 + 257795136 = 1668^2 + 16056^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746466 + ... + 746814.

It is an arithmetic number, because the mean of its divisors is an integer number (3935295).

Almost surely, 2^260577360 is an apocalyptic number.

260577360 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 260577360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472235400).

260577360 is an abundant number, since it is smaller than the sum of its proper divisors (683893440).

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

260577360 is a wasteful number, since it uses less digits than its factorization.

260577360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 260577360 is about 16142.4087421921. The cubic root of 260577360 is about 638.7225168583.

The spelling of 260577360 in words is "two hundred sixty million, five hundred seventy-seven thousand, three hundred sixty".