264316032 has 72 divisors (see below), whose sum is σ = 762188115. Its totient is φ = 87921408.

The previous prime is 264316021. The next prime is 264316061. The reversal of 264316032 is 230613462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

264316032 is a `hidden beast` number, since 2 + 643 + 16 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132158016 + 132158016 = 11496^2 + 11496^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11496.

It is a junction number, because it is equal to n+sod(n) for n = 264315987 and 264316005.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 551569 + ... + 552047.

Almost surely, 2^264316032 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 264316032

264316032 is an abundant number, since it is smaller than the sum of its proper divisors (497872083).

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

264316032 is an frugal number, since it uses more digits than its factorization.

264316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 264316032 is about 16257.7991130411. The cubic root of 264316032 is about 641.7627446021.

Adding to 264316032 its reverse (230613462), we get a palindrome (494929494).

The spelling of 264316032 in words is "two hundred sixty-four million, three hundred sixteen thousand, thirty-two".