260735328 has 192 divisors, whose sum is σ = 915264000. Its totient is φ = 70543872.

The previous prime is 260735311. The next prime is 260735329. The reversal of 260735328 is 823537062.

260735328 is a `hidden beast` number, since 260 + 73 + 5 + 328 = 666.

It is a super-2 number, since 2×260735328² = 135965822534535168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 260735292 and 260735301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260735329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113778 + ... + 116046.

It is an arithmetic number, because the mean of its divisors is an integer number (4767000).

Almost surely, 2^260735328 is an apocalyptic number.

260735328 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 260735328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457632000).

260735328 is an abundant number, since it is smaller than the sum of its proper divisors (654528672).

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

260735328 is a wasteful number, since it uses less digits than its factorization.

260735328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 260735328 is about 16147.3009509329. The cubic root of 260735328 is about 638.8515602213.

The spelling of 260735328 in words is "two hundred sixty million, seven hundred thirty-five thousand, three hundred twenty-eight".