273640820 has 48 divisors (see below), whose sum is σ = 598086720. Its totient is φ = 105079296.

The previous prime is 273640819. The next prime is 273640859. The reversal of 273640820 is 28046372.

273640820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 48044 + ... + 53436.

It is an arithmetic number, because the mean of its divisors is an integer number (12460140).

Almost surely, 2^273640820 is an apocalyptic number.

273640820 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 273640820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043360).

273640820 is an abundant number, since it is smaller than the sum of its proper divisors (324445900).

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

273640820 is a wasteful number, since it uses less digits than its factorization.

273640820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 273640820 is about 16542.0923706767. The cubic root of 273640820 is about 649.2225972208. Note that the first 3 decimals are identical.

The spelling of 273640820 in words is "two hundred seventy-three million, six hundred forty thousand, eight hundred twenty".