260153856 has 280 divisors, whose sum is σ = 845313084. Its totient is φ = 79626240.

The previous prime is 260153813. The next prime is 260153893. The reversal of 260153856 is 658351062.

260153856 is a `hidden beast` number, since 260 + 15 + 385 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 255488256 + 4665600 = 15984^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 260153856.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6345196 + ... + 6345236.

Almost surely, 2^260153856 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 260153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422656542).

260153856 is an abundant number, since it is smaller than the sum of its proper divisors (585159228).

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

260153856 is an frugal number, since it uses more digits than its factorization.

260153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 260153856 is about 16129.2856630416. The cubic root of 260153856 is about 638.3763007766.

The spelling of 260153856 in words is "two hundred sixty million, one hundred fifty-three thousand, eight hundred fifty-six".