273829680 has 160 divisors (see below), whose sum is σ = 948510720. Its totient is φ = 72610560.

The previous prime is 273829627. The next prime is 273829741. The reversal of 273829680 is 86928372.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 714769 + ... + 715151.

It is an arithmetic number, because the mean of its divisors is an integer number (5928192).

Almost surely, 2^273829680 is an apocalyptic number.

273829680 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 273829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474255360).

273829680 is an abundant number, since it is smaller than the sum of its proper divisors (674681040).

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

273829680 is a wasteful number, since it uses less digits than its factorization.

273829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 273829680 is about 16547.7998537570. The cubic root of 273829680 is about 649.3719218995.

The spelling of 273829680 in words is "two hundred seventy-three million, eight hundred twenty-nine thousand, six hundred eighty".