260553006 has 48 divisors (see below), whose sum is σ = 647547264. Its totient is φ = 74170512.

The previous prime is 260552911. The next prime is 260553037. The reversal of 260553006 is 600355062.

260553006 is a `hidden beast` number, since 2 + 605 + 53 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32005 + ... + 39311.

It is an arithmetic number, because the mean of its divisors is an integer number (13490568).

Almost surely, 2^260553006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260553006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323773632).

260553006 is an abundant number, since it is smaller than the sum of its proper divisors (386994258).

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

260553006 is a wasteful number, since it uses less digits than its factorization.

260553006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 260553006 is about 16141.6543761784. The cubic root of 260553006 is about 638.7026175434.

It can be divided in two parts, 2605 and 53006, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 260553006 in words is "two hundred sixty million, five hundred fifty-three thousand, six".