273065540 has 72 divisors (see below), whose sum is σ = 642501720. Its totient is φ = 97377280.

The previous prime is 273065539. The next prime is 273065557. The reversal of 273065540 is 45560372.

It can be written as a sum of positive squares in 4 ways, for example, as 24940036 + 248125504 = 4994^2 + 15752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 273065497 and 273065506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127196 + ... + 129324.

It is an arithmetic number, because the mean of its divisors is an integer number (8923635).

Almost surely, 2^273065540 is an apocalyptic number.

273065540 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 273065540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321250860).

273065540 is an abundant number, since it is smaller than the sum of its proper divisors (369436180).

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

273065540 is a wasteful number, since it uses less digits than its factorization.

273065540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 273065540 is about 16524.6948534610. The cubic root of 273065540 is about 648.7673205925.

The spelling of 273065540 in words is "two hundred seventy-three million, sixty-five thousand, five hundred forty".