260638560 has 720 divisors, whose sum is σ = 1205287776. Its totient is φ = 51757056.

The previous prime is 260638559. The next prime is 260638571. The reversal of 260638560 is 65836062.

260638560 is a `hidden beast` number, since 2 + 60 + 6 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 15331672 + ... + 15331688.

Almost surely, 2^260638560 is an apocalyptic number.

260638560 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 260638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602643888).

260638560 is an abundant number, since it is smaller than the sum of its proper divisors (944649216).

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

260638560 is a wasteful number, since it uses less digits than its factorization.

260638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

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

The square root of 260638560 is about 16144.3042587781. The cubic root of 260638560 is about 638.7725170555.

The spelling of 260638560 in words is "two hundred sixty million, six hundred thirty-eight thousand, five hundred sixty".