274872096 has 96 divisors (see below), whose sum is σ = 811581120. Its totient is φ = 90496512.

The previous prime is 274872089. The next prime is 274872097. The reversal of 274872096 is 690278472.

274872096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (274872097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69796 + ... + 73628.

It is an arithmetic number, because the mean of its divisors is an integer number (8453970).

Almost surely, 2^274872096 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 274872096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405790560).

274872096 is an abundant number, since it is smaller than the sum of its proper divisors (536709024).

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

274872096 is a wasteful number, since it uses less digits than its factorization.

274872096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 274872096 is about 16579.2670525569. The cubic root of 274872096 is about 650.1948890952.

The spelling of 274872096 in words is "two hundred seventy-four million, eight hundred seventy-two thousand, ninety-six".