260677872 has 320 divisors, whose sum is σ = 972160000. Its totient is φ = 64945152.

The previous prime is 260677831. The next prime is 260677889. The reversal of 260677872 is 278776062.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746754 + ... + 747102.

It is an arithmetic number, because the mean of its divisors is an integer number (3038000).

Almost surely, 2^260677872 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 260677872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486080000).

260677872 is an abundant number, since it is smaller than the sum of its proper divisors (711482128).

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

260677872 is a wasteful number, since it uses less digits than its factorization.

260677872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 260677872 is about 16145.5217320469. The cubic root of 260677872 is about 638.8046307008.

The spelling of 260677872 in words is "two hundred sixty million, six hundred seventy-seven thousand, eight hundred seventy-two".