260017128 has 240 divisors, whose sum is σ = 893851200. Its totient is φ = 70217280.

The previous prime is 260017073. The next prime is 260017129. The reversal of 260017128 is 821710062.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260017129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 603073 + ... + 603503.

It is an arithmetic number, because the mean of its divisors is an integer number (3724380).

Almost surely, 2^260017128 is an apocalyptic number.

260017128 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 260017128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446925600).

260017128 is an abundant number, since it is smaller than the sum of its proper divisors (633834072).

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

260017128 is a wasteful number, since it uses less digits than its factorization.

260017128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 260017128 is about 16125.0466045838. The cubic root of 260017128 is about 638.2644449031.

The spelling of 260017128 in words is "two hundred sixty million, seventeen thousand, one hundred twenty-eight".