264159648 has 72 divisors (see below), whose sum is σ = 757945188. Its totient is φ = 87263232.

The previous prime is 264159629. The next prime is 264159653. The reversal of 264159648 is 846951462.

It can be written as a sum of positive squares in 2 ways, for example, as 262051344 + 2108304 = 16188^2 + 1452^2 .

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

It is a super-3 number, since 3×264159648³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28486 + ... + 36602.

Almost surely, 2^264159648 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 264159648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378972594).

264159648 is an abundant number, since it is smaller than the sum of its proper divisors (493785540).

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

264159648 is a wasteful number, since it uses less digits than its factorization.

264159648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8235 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 264159648 is about 16252.9888943542. The cubic root of 264159648 is about 641.6361521742.

It can be divided in two parts, 26415 and 9648, that added together give a palindrome (36063).

The spelling of 264159648 in words is "two hundred sixty-four million, one hundred fifty-nine thousand, six hundred forty-eight".