273920768 has 108 divisors (see below), whose sum is σ = 619822560. Its totient is φ = 120637440.

The previous prime is 273920753. The next prime is 273920771. The reversal of 273920768 is 867029372.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1145993 + ... + 1146231.

Almost surely, 2^273920768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309911280).

273920768 is an abundant number, since it is smaller than the sum of its proper divisors (345901792).

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

273920768 is a wasteful number, since it uses less digits than its factorization.

273920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 273920768 is about 16550.5518941212. The cubic root of 273920768 is about 649.4439172997.

The spelling of 273920768 in words is "two hundred seventy-three million, nine hundred twenty thousand, seven hundred sixty-eight".