260305920 has 352 divisors, whose sum is σ = 1061164800. Its totient is φ = 59277312.

The previous prime is 260305901. The next prime is 260305933. The reversal of 260305920 is 29503062.

260305920 is a `hidden beast` number, since 2 + 603 + 0 + 59 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967546 + ... + 967814.

Almost surely, 2^260305920 is an apocalyptic number.

260305920 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 260305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530582400).

260305920 is an abundant number, since it is smaller than the sum of its proper divisors (800858880).

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

260305920 is a wasteful number, since it uses less digits than its factorization.

260305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 260305920 is about 16133.9988843436. The cubic root of 260305920 is about 638.5006568630.

Adding to 260305920 its reverse (29503062), we get a palindrome (289808982).

The spelling of 260305920 in words is "two hundred sixty million, three hundred five thousand, nine hundred twenty".