275204160 has 672 divisors, whose sum is σ = 1266700032. Its totient is φ = 53084160.

The previous prime is 275204141. The next prime is 275204161. The reversal of 275204160 is 61402572.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (275204161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769884 + ... + 3769956.

Almost surely, 2^275204160 is an apocalyptic number.

275204160 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 275204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633350016).

275204160 is an abundant number, since it is smaller than the sum of its proper divisors (991495872).

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

275204160 is a wasteful number, since it uses less digits than its factorization.

275204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 275204160 is about 16589.2784653221. The cubic root of 275204160 is about 650.4566101332.

The spelling of 275204160 in words is "two hundred seventy-five million, two hundred four thousand, one hundred sixty".