274164640 has 48 divisors (see below), whose sum is σ = 656614728. Its totient is φ = 108158976.

The previous prime is 274164599. The next prime is 274164641. The reversal of 274164640 is 46461472.

It can be written as a sum of positive squares in 4 ways, for example, as 271986064 + 2178576 = 16492^2 + 1476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 274164596 and 274164605.

It is not an unprimeable number, because it can be changed into a prime (274164641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 23416.

Almost surely, 2^274164640 is an apocalyptic number.

274164640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328307364).

274164640 is an abundant number, since it is smaller than the sum of its proper divisors (382450088).

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

274164640 is a wasteful number, since it uses less digits than its factorization.

274164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23561 (or 23553 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 274164640 is about 16557.9177434845. The cubic root of 274164640 is about 649.6365937065.

The spelling of 274164640 in words is "two hundred seventy-four million, one hundred sixty-four thousand, six hundred forty".