273627680 has 48 divisors (see below), whose sum is σ = 649868184. Its totient is φ = 108871680.

The previous prime is 273627671. The next prime is 273627701. The reversal of 273627680 is 86726372.

It can be written as a sum of positive squares in 4 ways, for example, as 255616144 + 18011536 = 15988^2 + 4244^2 .

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, 26450 + ... + 35310.

Almost surely, 2^273627680 is an apocalyptic number.

273627680 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 273627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324934092).

273627680 is an abundant number, since it is smaller than the sum of its proper divisors (376240504).

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

273627680 is a wasteful number, since it uses less digits than its factorization.

273627680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 273627680 is about 16541.6951972886. The cubic root of 273627680 is about 649.2122053484.

The spelling of 273627680 in words is "two hundred seventy-three million, six hundred twenty-seven thousand, six hundred eighty".