273129840 has 160 divisors (see below), whose sum is σ = 971366400. Its totient is φ = 70467840.

The previous prime is 273129839. The next prime is 273129877. The reversal of 273129840 is 48921372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 273129795 and 273129804.

It is a congruent number.

It is an unprimeable number.

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, 64921 + ... + 68999.

It is an arithmetic number, because the mean of its divisors is an integer number (6071040).

Almost surely, 2^273129840 is an apocalyptic number.

273129840 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 273129840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485683200).

273129840 is an abundant number, since it is smaller than the sum of its proper divisors (698236560).

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

273129840 is a wasteful number, since it uses less digits than its factorization.

273129840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 273129840 is about 16526.6403119327. The cubic root of 273129840 is about 648.8182393387.

The spelling of 273129840 in words is "two hundred seventy-three million, one hundred twenty-nine thousand, eight hundred forty".