274664 has 32 divisors (see below), whose sum is σ = 588000. Its totient is φ = 119232.

The previous prime is 274661. The next prime is 274667. The reversal of 274664 is 466472.

It is an interprime number because it is at equal distance from previous prime (274661) and next prime (274667).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274664.

It is not an unprimeable number, because it can be changed into a prime (274661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1907 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2²⁷⁴⁶⁶⁴ 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 274664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294000).

274664 is an abundant number, since it is smaller than the sum of its proper divisors (313336).

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

274664 is a wasteful number, since it uses less digits than its factorization.

274664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 274664 is about 524.0839627388. The cubic root of 274664 is about 65.0030767774.

The spelling of 274664 in words is "two hundred seventy-four thousand, six hundred sixty-four".