273768 has 64 divisors (see below), whose sum is σ = 803520. Its totient is φ = 76800.

The previous prime is 273739. The next prime is 273773. The reversal of 273768 is 867372.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (14112) is a multiple of the sum of its prime factors (98).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4458 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2²⁷³⁷⁶⁸ 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 273768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

273768 is an abundant number, since it is smaller than the sum of its proper divisors (529752).

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

273768 is a wasteful number, since it uses less digits than its factorization.

273768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 273768 is about 523.2284395940. The cubic root of 273768 is about 64.9323161337.

The spelling of 273768 in words is "two hundred seventy-three thousand, seven hundred sixty-eight".