260661408 has 96 divisors (see below), whose sum is σ = 828019584. Its totient is φ = 70090752.

The previous prime is 260661353. The next prime is 260661409. The reversal of 260661408 is 804166062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (260661409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16 + ... + 22832.

It is an arithmetic number, because the mean of its divisors is an integer number (8625204).

Almost surely, 2^260661408 is an apocalyptic number.

260661408 is a gapful number since it is divisible by the number (28) 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 260661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414009792).

260661408 is an abundant number, since it is smaller than the sum of its proper divisors (567358176).

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

260661408 is a wasteful number, since it uses less digits than its factorization.

260661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22854 (or 22846 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 260661408 is about 16145.0118612530. The cubic root of 260661408 is about 638.7911817894.

The spelling of 260661408 in words is "two hundred sixty million, six hundred sixty-one thousand, four hundred eight".