275968000 has 312 divisors, whose sum is σ = 874012464. Its totient is φ = 86016000.

The previous prime is 275967997. The next prime is 275968009. The reversal of 275968000 is 869572.

275968000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275968009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25087995 + ... + 25088005.

It is an arithmetic number, because the mean of its divisors is an integer number (2801322).

Almost surely, 2^275968000 is an apocalyptic number.

275968000 is a gapful number since it is divisible by the number (20) 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 275968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437006232).

275968000 is an abundant number, since it is smaller than the sum of its proper divisors (598044464).

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

275968000 is an equidigital number, since it uses as much as digits as its factorization.

275968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 275968000 is about 16612.2846110943. The cubic root of 275968000 is about 651.0578435518.

The spelling of 275968000 in words is "two hundred seventy-five million, nine hundred sixty-eight thousand".