273664 has 18 divisors (see below), whose sum is σ = 546770. Its totient is φ = 136704.

The previous prime is 273653. The next prime is 273697. The reversal of 273664 is 466372.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 43264 = 480^2 + 208^2 .

It is a d-powerful number, because it can be written as 2¹³ + 7 + 6⁴ + 3⁶ + 6⁴ + 4⁹ .

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

273664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 279 + ... + 790.

2²⁷³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

273664 is a deficient number, since it is larger than the sum of its proper divisors (273106).

273664 is an equidigital number, since it uses as much as digits as its factorization.

273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 273664 is about 523.1290471767. The cubic root of 273664 is about 64.9240928495.

The spelling of 273664 in words is "two hundred seventy-three thousand, six hundred sixty-four".