260797312 has 64 divisors (see below), whose sum is σ = 544190400. Its totient is φ = 124360704.

The previous prime is 260797301. The next prime is 260797367. The reversal of 260797312 is 213797062.

260797312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250489 + ... + 251527.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2^260797312 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 260797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272095200).

260797312 is an abundant number, since it is smaller than the sum of its proper divisors (283393088).

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

260797312 is a wasteful number, since it uses less digits than its factorization.

260797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 260797312 is about 16149.2201669307. The cubic root of 260797312 is about 638.9021804396.

The spelling of 260797312 in words is "two hundred sixty million, seven hundred ninety-seven thousand, three hundred twelve".