273987360 has 264 divisors, whose sum is σ = 1004417820. Its totient is φ = 70543872.

The previous prime is 273987349. The next prime is 273987361. The reversal of 273987360 is 63789372.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 273042576 + 944784 = 16524^2 + 972^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (273987361) 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 43 ways as a sum of consecutive naturals, for example, 9447826 + ... + 9447854.

Almost surely, 2^273987360 is an apocalyptic number.

273987360 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 273987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502208910).

273987360 is an abundant number, since it is smaller than the sum of its proper divisors (730430460).

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

273987360 is an frugal number, since it uses more digits than its factorization.

273987360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 273987360 is about 16552.5635476805. The cubic root of 273987360 is about 649.4965411120.

The spelling of 273987360 in words is "two hundred seventy-three million, nine hundred eighty-seven thousand, three hundred sixty".