264868640 has 48 divisors (see below), whose sum is σ = 628440120. Its totient is φ = 105492480.

The previous prime is 264868609. The next prime is 264868657. The reversal of 264868640 is 46868462.

It can be written as a sum of positive squares in 4 ways, for example, as 164147344 + 100721296 = 12812^2 + 10036^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 264868591 and 264868600.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35126 + ... + 41994.

Almost surely, 2^264868640 is an apocalyptic number.

264868640 is a gapful number since it is divisible by the number (20) 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 264868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314220060).

264868640 is an abundant number, since it is smaller than the sum of its proper divisors (363571480).

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

264868640 is a wasteful number, since it uses less digits than its factorization.

264868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 264868640 is about 16274.7854056513. The cubic root of 264868640 is about 642.2096797335.

The spelling of 264868640 in words is "two hundred sixty-four million, eight hundred sixty-eight thousand, six hundred forty".