275825664 has 99 divisors (see below), whose sum is σ = 801070933. Its totient is φ = 91410432.

The previous prime is 275825659. The next prime is 275825681. The reversal of 275825664 is 466528572.

The square root of 275825664 is 16608.

It is a perfect power (a square), and thus also a powerful number.

275825664 is a `hidden beast` number, since 2 + 7 + 5 + 82 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 250905600 + 24920064 = 15840^2 + 4992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1594282 + ... + 1594454.

Almost surely, 2^275825664 is an apocalyptic number.

275825664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

275825664 is the 16608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275825664

275825664 is an abundant number, since it is smaller than the sum of its proper divisors (525245269).

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

275825664 is an equidigital number, since it uses as much as digits as its factorization.

275825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 178 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The cubic root of 275825664 is about 650.9458922800.

The spelling of 275825664 in words is "two hundred seventy-five million, eight hundred twenty-five thousand, six hundred sixty-four".