260930880 has 378 divisors, whose sum is σ = 1068867306. Its totient is φ = 58254336.

The previous prime is 260930861. The next prime is 260930881. The reversal of 260930880 is 88039062.

It can be written as a sum of positive squares in only one way, i.e., 208744704 + 52186176 = 14448^2 + 7224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260930881) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6068139 + ... + 6068181.

Almost surely, 2^260930880 is an apocalyptic number.

260930880 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 260930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534433653).

260930880 is an abundant number, since it is smaller than the sum of its proper divisors (807936426).

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

260930880 is a wasteful number, since it uses less digits than its factorization.

260930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260930880 is about 16153.3550694585. The cubic root of 260930880 is about 639.0112336112.

It can be divided in two parts, 2609 and 30880, that added together give a square (33489 = 183²).

The spelling of 260930880 in words is "two hundred sixty million, nine hundred thirty thousand, eight hundred eighty".