264000672 has 144 divisors (see below), whose sum is σ = 817296480. Its totient is φ = 80349696.

The previous prime is 264000641. The next prime is 264000677. The reversal of 264000672 is 276000462.

264000672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (264000677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400279 + ... + 400937.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^264000672 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 264000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408648240).

264000672 is an abundant number, since it is smaller than the sum of its proper divisors (553295808).

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

264000672 is a wasteful number, since it uses less digits than its factorization.

264000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

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

The square root of 264000672 is about 16248.0974886292. The cubic root of 264000672 is about 641.5074103076.

The spelling of 264000672 in words is "two hundred sixty-four million, six hundred seventy-two", and thus it is an aban number.