273729680 has 60 divisors (see below), whose sum is σ = 740337660. Its totient is φ = 93848832.

The previous prime is 273729671. The next prime is 273729689. The reversal of 273729680 is 86927372.

It is an interprime number because it is at equal distance from previous prime (273729671) and next prime (273729689).

It can be written as a sum of positive squares in 2 ways, for example, as 38291344 + 235438336 = 6188^2 + 15344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273729689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30995 + ... + 38834.

It is an arithmetic number, because the mean of its divisors is an integer number (12338961).

Almost surely, 2^273729680 is an apocalyptic number.

273729680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

273729680 is an abundant number, since it is smaller than the sum of its proper divisors (466607980).

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

273729680 is a wasteful number, since it uses less digits than its factorization.

273729680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69856 (or 69843 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 273729680 is about 16544.7780281272. The cubic root of 273729680 is about 649.2928641210.

The spelling of 273729680 in words is "two hundred seventy-three million, seven hundred twenty-nine thousand, six hundred eighty".