260983776 has 48 divisors (see below), whose sum is σ = 687875328. Its totient is φ = 86640000.

The previous prime is 260983771. The next prime is 260983817. The reversal of 260983776 is 677389062.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×260983776² = 136225062670436352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260983771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18681 + ... + 29511.

It is an arithmetic number, because the mean of its divisors is an integer number (14330736).

Almost surely, 2^260983776 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 260983776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343937664).

260983776 is an abundant number, since it is smaller than the sum of its proper divisors (426891552).

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

260983776 is a wasteful number, since it uses less digits than its factorization.

260983776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 260983776 is about 16154.9922934058. The cubic root of 260983776 is about 639.0544108879.

The spelling of 260983776 in words is "two hundred sixty million, nine hundred eighty-three thousand, seven hundred seventy-six".