273082920 has 128 divisors (see below), whose sum is σ = 897661440. Its totient is φ = 65911040.

The previous prime is 273082897. The next prime is 273082921. The reversal of 273082920 is 29280372.

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

It is not an unprimeable number, because it can be changed into a prime (273082921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584527 + ... + 584993.

It is an arithmetic number, because the mean of its divisors is an integer number (7012980).

Almost surely, 2^273082920 is an apocalyptic number.

273082920 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 273082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448830720).

273082920 is an abundant number, since it is smaller than the sum of its proper divisors (624578520).

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

273082920 is a wasteful number, since it uses less digits than its factorization.

273082920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 273082920 is about 16525.2207246984. The cubic root of 273082920 is about 648.7810844881.

The spelling of 273082920 in words is "two hundred seventy-three million, eighty-two thousand, nine hundred twenty".