264248320 has 176 divisors, whose sum is σ = 741636288. Its totient is φ = 88473600.

The previous prime is 264248293. The next prime is 264248381. The reversal of 264248320 is 23842462.

264248320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616270 + ... + 2616370.

Almost surely, 2^264248320 is an apocalyptic number.

264248320 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 264248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370818144).

264248320 is an abundant number, since it is smaller than the sum of its proper divisors (477387968).

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

264248320 is a wasteful number, since it uses less digits than its factorization.

264248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 264248320 is about 16255.7165329616. The cubic root of 264248320 is about 641.7079380512.

The spelling of 264248320 in words is "two hundred sixty-four million, two hundred forty-eight thousand, three hundred twenty".