273360560 has 80 divisors (see below), whose sum is σ = 699732000. Its totient is φ = 98488320.

The previous prime is 273360559. The next prime is 273360569. The reversal of 273360560 is 65063372.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (273360569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98066 + ... + 100814.

It is an arithmetic number, because the mean of its divisors is an integer number (8746650).

Almost surely, 2^273360560 is an apocalyptic number.

273360560 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 273360560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349866000).

273360560 is an abundant number, since it is smaller than the sum of its proper divisors (426371440).

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

273360560 is a wasteful number, since it uses less digits than its factorization.

273360560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 273360560 is about 16533.6190835522. The cubic root of 273360560 is about 649.0008792307. Note that the first 3 decimals are identical.

The spelling of 273360560 in words is "two hundred seventy-three million, three hundred sixty thousand, five hundred sixty".