264697216 has 64 divisors (see below), whose sum is σ = 615060000. Its totient is φ = 113422848.

The previous prime is 264697201. The next prime is 264697217. The reversal of 264697216 is 612796462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264697217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40890 + ... + 46918.

Almost surely, 2^264697216 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 264697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307530000).

264697216 is an abundant number, since it is smaller than the sum of its proper divisors (350362784).

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

264697216 is an frugal number, since it uses more digits than its factorization.

264697216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6038 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 264697216 is about 16269.5180014652. The cubic root of 264697216 is about 642.0711029772.

The spelling of 264697216 in words is "two hundred sixty-four million, six hundred ninety-seven thousand, two hundred sixteen".