274164768 has 72 divisors (see below), whose sum is σ = 785011500. Its totient is φ = 90760704.

The previous prime is 274164743. The next prime is 274164769. The reversal of 274164768 is 867461472.

It can be written as a sum of positive squares in 2 ways, for example, as 190771344 + 83393424 = 13812^2 + 9132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (274164769) 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 11 ways as a sum of consecutive naturals, for example, 39718 + ... + 46106.

Almost surely, 2^274164768 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 274164768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392505750).

274164768 is an abundant number, since it is smaller than the sum of its proper divisors (510846732).

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

274164768 is a wasteful number, since it uses less digits than its factorization.

274164768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6543 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 274164768 is about 16557.9216087044. The cubic root of 274164768 is about 649.6366948056.

The spelling of 274164768 in words is "two hundred seventy-four million, one hundred sixty-four thousand, seven hundred sixty-eight".