273629616 has 80 divisors (see below), whose sum is σ = 787553760. Its totient is φ = 81285120.

The previous prime is 273629563. The next prime is 273629677. The reversal of 273629616 is 616926372.

273629616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 10536 + ... + 25656.

It is an arithmetic number, because the mean of its divisors is an integer number (9844422).

Almost surely, 2^273629616 is an apocalyptic number.

273629616 is a gapful number since it is divisible by the number (26) 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 273629616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393776880).

273629616 is an abundant number, since it is smaller than the sum of its proper divisors (513924144).

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

273629616 is a wasteful number, since it uses less digits than its factorization.

273629616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15174 (or 15168 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 273629616 is about 16541.7537159758. The cubic root of 273629616 is about 649.2137364702.

The spelling of 273629616 in words is "two hundred seventy-three million, six hundred twenty-nine thousand, six hundred sixteen".