275668480 has 80 divisors (see below), whose sum is σ = 665113680. Its totient is φ = 109576192.

The previous prime is 275668457. The next prime is 275668493. The reversal of 275668480 is 84866572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×275668480² = 151986221731020800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 275668480.

It is a congruent number.

It is an unprimeable number.

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, 657711 + ... + 658129.

It is an arithmetic number, because the mean of its divisors is an integer number (8313921).

Almost surely, 2^275668480 is an apocalyptic number.

275668480 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 275668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332556840).

275668480 is an abundant number, since it is smaller than the sum of its proper divisors (389445200).

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

275668480 is an equidigital number, since it uses as much as digits as its factorization.

275668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 275668480 is about 16603.2671483657. The cubic root of 275668480 is about 650.8222178791.

It can be divided in two parts, 27566 and 8480, that added together give a triangular number (36046 = T₂₆₈).

The spelling of 275668480 in words is "two hundred seventy-five million, six hundred sixty-eight thousand, four hundred eighty".