264731720 has 64 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 92942080.

The previous prime is 264731699. The next prime is 264731741. The reversal of 264731720 is 27137462.

264731720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264731699) and next prime (264731741).

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, 2387 + ... + 23133.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2^264731720 is an apocalyptic number.

264731720 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 264731720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

264731720 is an abundant number, since it is smaller than the sum of its proper divisors (407503480).

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

264731720 is a wasteful number, since it uses less digits than its factorization.

264731720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20798 (or 20794 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 264731720 is about 16270.5783548096. The cubic root of 264731720 is about 642.0990003350.

The spelling of 264731720 in words is "two hundred sixty-four million, seven hundred thirty-one thousand, seven hundred twenty".