273814020 has 120 divisors (see below), whose sum is σ = 864814104. Its totient is φ = 72520704.

The previous prime is 273813961. The next prime is 273814039. The reversal of 273814020 is 20418372.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 125753796 = 12168^2 + 11214^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279772 + ... + 280748.

Almost surely, 2^273814020 is an apocalyptic number.

273814020 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 273814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432407052).

273814020 is an abundant number, since it is smaller than the sum of its proper divisors (591000084).

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

273814020 is a wasteful number, since it uses less digits than its factorization.

273814020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 273814020 is about 16547.3266723057. The cubic root of 273814020 is about 649.3595427226.

The spelling of 273814020 in words is "two hundred seventy-three million, eight hundred fourteen thousand, twenty".