275520960 has 448 divisors, whose sum is σ = 1147023360. Its totient is φ = 61378560.

The previous prime is 275520941. The next prime is 275520961. The reversal of 275520960 is 69025572.

275520960 is a `hidden beast` number, since 2 + 75 + 520 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275520961) 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 63 ways as a sum of consecutive naturals, for example, 1235409 + ... + 1235631.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^275520960 is an apocalyptic number.

275520960 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 275520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

275520960 is an abundant number, since it is smaller than the sum of its proper divisors (871502400).

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

275520960 is a wasteful number, since it uses less digits than its factorization.

275520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 275520960 is about 16598.8240547335. The cubic root of 275520960 is about 650.7061044656.

The spelling of 275520960 in words is "two hundred seventy-five million, five hundred twenty thousand, nine hundred sixty".