260775840 has 288 divisors, whose sum is σ = 936472320. Its totient is φ = 60622848.

The previous prime is 260775803. The next prime is 260775841. The reversal of 260775840 is 48577062.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260775841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3300921 + ... + 3300999.

It is an arithmetic number, because the mean of its divisors is an integer number (3251640).

Almost surely, 2^260775840 is an apocalyptic number.

260775840 is a gapful number since it is divisible by the number (20) 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 260775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468236160).

260775840 is an abundant number, since it is smaller than the sum of its proper divisors (675696480).

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

260775840 is a wasteful number, since it uses less digits than its factorization.

260775840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 260775840 is about 16148.5553533435. Note that the first 3 decimals coincide. The cubic root of 260775840 is about 638.8846458977.

The spelling of 260775840 in words is "two hundred sixty million, seven hundred seventy-five thousand, eight hundred forty".