260960896 has 64 divisors (see below), whose sum is σ = 625464000. Its totient is φ = 105947136.

The previous prime is 260960893. The next prime is 260960951. The reversal of 260960896 is 698069062.

It is a happy number.

260960896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×260960896² = 136201178482245632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260960891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9360 + ... + 24688.

It is an arithmetic number, because the mean of its divisors is an integer number (9772875).

Almost surely, 2^260960896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312732000).

260960896 is an abundant number, since it is smaller than the sum of its proper divisors (364503104).

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

260960896 is a wasteful number, since it uses less digits than its factorization.

260960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 260960896 is about 16154.2841376522. The cubic root of 260960896 is about 639.0357354074.

The spelling of 260960896 in words is "two hundred sixty million, nine hundred sixty thousand, eight hundred ninety-six".