264006720 has 252 divisors, whose sum is σ = 949093860. Its totient is φ = 67350528.

The previous prime is 264006709. The next prime is 264006737. The reversal of 264006720 is 27600462.

264006720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 788544 + 263218176 = 888^2 + 16224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2422026 + ... + 2422134.

Almost surely, 2^264006720 is an apocalyptic number.

264006720 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 264006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474546930).

264006720 is an abundant number, since it is smaller than the sum of its proper divisors (685087140).

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

264006720 is a wasteful number, since it uses less digits than its factorization.

264006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 264006720 is about 16248.2836016608. The cubic root of 264006720 is about 641.5123090415.

The spelling of 264006720 in words is "two hundred sixty-four million, six thousand, seven hundred twenty".