273235968 has 180 divisors, whose sum is σ = 843422580. Its totient is φ = 84934656.

The previous prime is 273235961. The next prime is 273235969. The reversal of 273235968 is 869532372.

273235968 is a `hidden beast` number, since 27 + 32 + 3 + 596 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201867264 + 71368704 = 14208^2 + 8448^2 .

Its product of digits (544320) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273235961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2506698 + ... + 2506806.

It is an arithmetic number, because the mean of its divisors is an integer number (4685681).

Almost surely, 2^273235968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421711290).

273235968 is an abundant number, since it is smaller than the sum of its proper divisors (570186612).

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

273235968 is a wasteful number, since it uses less digits than its factorization.

273235968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 273235968 is about 16529.8508160237. The cubic root of 273235968 is about 648.9022639251.

The spelling of 273235968 in words is "two hundred seventy-three million, two hundred thirty-five thousand, nine hundred sixty-eight".