273688956 has 108 divisors (see below), whose sum is σ = 743868216. Its totient is φ = 87985440.

The previous prime is 273688951. The next prime is 273688957. The reversal of 273688956 is 659886372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273688951) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 933946 + ... + 934238.

Almost surely, 2^273688956 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 273688956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371934108).

273688956 is an abundant number, since it is smaller than the sum of its proper divisors (470179260).

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

273688956 is a wasteful number, since it uses less digits than its factorization.

273688956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 329 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 273688956 is about 16543.5472616969. The cubic root of 273688956 is about 649.2606631140.

It can be divided in two parts, 27368895 and 6, that added together give a triangular number (27368901 = T₇₃₉₈).

The spelling of 273688956 in words is "two hundred seventy-three million, six hundred eighty-eight thousand, nine hundred fifty-six".