273973680 has 120 divisors (see below), whose sum is σ = 928802160. Its totient is φ = 72368640.

The previous prime is 273973657. The next prime is 273973697. The reversal of 273973680 is 86379372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 76735 + ... + 80225.

It is an arithmetic number, because the mean of its divisors is an integer number (7740018).

Almost surely, 2^273973680 is an apocalyptic number.

273973680 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 273973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464401080).

273973680 is an abundant number, since it is smaller than the sum of its proper divisors (654828480).

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

273973680 is a wasteful number, since it uses less digits than its factorization.

273973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3610 counting only the distinct ones).

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

The square root of 273973680 is about 16552.1503134789. The cubic root of 273973680 is about 649.4857312939.

The spelling of 273973680 in words is "two hundred seventy-three million, nine hundred seventy-three thousand, six hundred eighty".