260604960 has 288 divisors, whose sum is σ = 1032829056. Its totient is φ = 54067200.

The previous prime is 260604959. The next prime is 260604997. The reversal of 260604960 is 69406062.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

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, 406240 + ... + 406880.

It is an arithmetic number, because the mean of its divisors is an integer number (3586212).

Almost surely, 2^260604960 is an apocalyptic number.

260604960 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 260604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516414528).

260604960 is an abundant number, since it is smaller than the sum of its proper divisors (772224096).

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

260604960 is a wasteful number, since it uses less digits than its factorization.

260604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 260604960 is about 16143.2636105590. The cubic root of 260604960 is about 638.7450669360.

The spelling of 260604960 in words is "two hundred sixty million, six hundred four thousand, nine hundred sixty".