275633664 has 80 divisors (see below), whose sum is σ = 740160960. Its totient is φ = 91146240.

The previous prime is 275633653. The next prime is 275633669. The reversal of 275633664 is 466336572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275633669) 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 7 ways as a sum of consecutive naturals, for example, 212859 + ... + 214149.

It is an arithmetic number, because the mean of its divisors is an integer number (9252012).

Almost surely, 2^275633664 is an apocalyptic number.

275633664 is a gapful number since it is divisible by the number (24) 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 275633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370080480).

275633664 is an abundant number, since it is smaller than the sum of its proper divisors (464527296).

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

275633664 is a wasteful number, since it uses less digits than its factorization.

275633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1435 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 275633664 is about 16602.2186469158. The cubic root of 275633664 is about 650.7948178413.

The spelling of 275633664 in words is "two hundred seventy-five million, six hundred thirty-three thousand, six hundred sixty-four".