264015648 has 144 divisors (see below), whose sum is σ = 815645376. Its totient is φ = 80524800.

The previous prime is 264015641. The next prime is 264015691. The reversal of 264015648 is 846510462.

264015648 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×264015648³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264015641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565111 + ... + 565577.

It is an arithmetic number, because the mean of its divisors is an integer number (5664204).

Almost surely, 2^264015648 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 264015648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407822688).

264015648 is an abundant number, since it is smaller than the sum of its proper divisors (551629728).

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

264015648 is a wasteful number, since it uses less digits than its factorization.

264015648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 264015648 is about 16248.5583360494. The cubic root of 264015648 is about 641.5195403693.

The spelling of 264015648 in words is "two hundred sixty-four million, fifteen thousand, six hundred forty-eight".