273671840 has 144 divisors (see below), whose sum is σ = 726327000. Its totient is φ = 97284096.

The previous prime is 273671821. The next prime is 273671851. The reversal of 273671840 is 48176372.

It can be written as a sum of positive squares in 12 ways, for example, as 1157776 + 272514064 = 1076^2 + 16508^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 273671794 and 273671803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783986 + ... + 784334.

Almost surely, 2^273671840 is an apocalyptic number.

273671840 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 273671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363163500).

273671840 is an abundant number, since it is smaller than the sum of its proper divisors (452655160).

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

273671840 is a wasteful number, since it uses less digits than its factorization.

273671840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 273671840 is about 16543.0299522185. The cubic root of 273671840 is about 649.2471283124.

The spelling of 273671840 in words is "two hundred seventy-three million, six hundred seventy-one thousand, eight hundred forty".