260090880 has 352 divisors, whose sum is σ = 990420480. Its totient is φ = 57016320.

The previous prime is 260090849. The next prime is 260090881. The reversal of 260090880 is 88090062.

260090880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (260090881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4408291 + ... + 4408349.

Almost surely, 2^260090880 is an apocalyptic number.

260090880 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 260090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

260090880 is an abundant number, since it is smaller than the sum of its proper divisors (730329600).

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

260090880 is a wasteful number, since it uses less digits than its factorization.

260090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 260090880 is about 16127.3333195541. Note that the first 4 decimals coincide. The cubic root of 260090880 is about 638.3247855811.

The spelling of 260090880 in words is "two hundred sixty million, ninety thousand, eight hundred eighty".