264066048 has 88 divisors (see below), whose sum is σ = 782117760. Its totient is φ = 88012800.

The previous prime is 264066041. The next prime is 264066067. The reversal of 264066048 is 840660462.

It is a happy number.

264066048 is a `hidden beast` number, since 2 + 6 + 40 + 6 + 604 + 8 = 666.

264066048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (264066041) by changing a digit.

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, 22873 + ... + 32423.

Almost surely, 2^264066048 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 264066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391058880).

264066048 is an abundant number, since it is smaller than the sum of its proper divisors (518051712).

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

264066048 is an equidigital number, since it uses as much as digits as its factorization.

264066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 264066048 is about 16250.1091688641. The cubic root of 264066048 is about 641.5603593231.

The spelling of 264066048 in words is "two hundred sixty-four million, sixty-six thousand, forty-eight".