275838066 has 48 divisors (see below), whose sum is σ = 686160384. Its totient is φ = 78449472.

The previous prime is 275838061. The next prime is 275838089. The reversal of 275838066 is 660838572.

275838066 is a `hidden beast` number, since 2 + 7 + 583 + 8 + 0 + 66 = 666.

It is not an unprimeable number, because it can be changed into a prime (275838061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23190 + ... + 33006.

It is an arithmetic number, because the mean of its divisors is an integer number (14295008).

Almost surely, 2^275838066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275838066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343080192).

275838066 is an abundant number, since it is smaller than the sum of its proper divisors (410322318).

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

275838066 is a wasteful number, since it uses less digits than its factorization.

275838066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10052 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 275838066 is about 16608.3733700805. The cubic root of 275838066 is about 650.9556483337.

The spelling of 275838066 in words is "two hundred seventy-five million, eight hundred thirty-eight thousand, sixty-six".