273883680 has 240 divisors, whose sum is σ = 1105030080. Its totient is φ = 62581248.

The previous prime is 273883669. The next prime is 273883681. The reversal of 273883680 is 86388372.

It is a tau number, because it is divible by the number of its divisors (240).

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 (273883681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89211 + ... + 92229.

It is an arithmetic number, because the mean of its divisors is an integer number (4604292).

Almost surely, 2^273883680 is an apocalyptic number.

273883680 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 273883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552515040).

273883680 is an abundant number, since it is smaller than the sum of its proper divisors (831146400).

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

273883680 is a wasteful number, since it uses less digits than its factorization.

273883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 273883680 is about 16549.4314101724. The cubic root of 273883680 is about 649.4146050971.

The spelling of 273883680 in words is "two hundred seventy-three million, eight hundred eighty-three thousand, six hundred eighty".