262880128 has 128 divisors (see below), whose sum is σ = 632563200. Its totient is φ = 106444800.

The previous prime is 262880119. The next prime is 262880131. The reversal of 262880128 is 821088262.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1740853 + ... + 1741003.

It is an arithmetic number, because the mean of its divisors is an integer number (4941900).

Almost surely, 2^262880128 is an apocalyptic number.

262880128 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 262880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316281600).

262880128 is an abundant number, since it is smaller than the sum of its proper divisors (369683072).

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

262880128 is a wasteful number, since it uses less digits than its factorization.

262880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 262880128 is about 16213.5785069182. The cubic root of 262880128 is about 640.5985026296.

The spelling of 262880128 in words is "two hundred sixty-two million, eight hundred eighty thousand, one hundred twenty-eight".