275982160 has 40 divisors (see below), whose sum is σ = 647358120. Its totient is φ = 109412352.

The previous prime is 275982151. The next prime is 275982191. The reversal of 275982160 is 61289572.

It can be written as a sum of positive squares in 4 ways, for example, as 35856144 + 240126016 = 5988^2 + 15496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6225 + ... + 24304.

It is an arithmetic number, because the mean of its divisors is an integer number (16183953).

Almost surely, 2^275982160 is an apocalyptic number.

275982160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

275982160 is an abundant number, since it is smaller than the sum of its proper divisors (371375960).

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

275982160 is a wasteful number, since it uses less digits than its factorization.

275982160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30655 (or 30649 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 275982160 is about 16612.7107962548. The cubic root of 275982160 is about 651.0689786851.

The spelling of 275982160 in words is "two hundred seventy-five million, nine hundred eighty-two thousand, one hundred sixty".