297065664 has 224 divisors, whose sum is σ = 1024128000. Its totient is φ = 82667520.

The previous prime is 297065663. The next prime is 297065693. The reversal of 297065664 is 466560792.

297065664 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 (224).

It is not an unprimeable number, because it can be changed into a prime (297065663) 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 31 ways as a sum of consecutive naturals, for example, 495637 + ... + 496235.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2^297065664 is an apocalyptic number.

297065664 is a gapful number since it is divisible by the number (24) 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 297065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

297065664 is an abundant number, since it is smaller than the sum of its proper divisors (727062336).

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

297065664 is a wasteful number, since it uses less digits than its factorization.

297065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 297065664 is about 17235.5929401921. The cubic root of 297065664 is about 667.2431937255.

The spelling of 297065664 in words is "two hundred ninety-seven million, sixty-five thousand, six hundred sixty-four".