264063000 has 256 divisors, whose sum is σ = 889574400. Its totient is φ = 65049600.

The previous prime is 264062999. The next prime is 264063017. The reversal of 264063000 is 360462.

264063000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2966956 + ... + 2967044.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2^264063000 is an apocalyptic number.

264063000 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 264063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444787200).

264063000 is an abundant number, since it is smaller than the sum of its proper divisors (625511400).

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

264063000 is a wasteful number, since it uses less digits than its factorization.

264063000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 264063000 is about 16250.0153846081. The cubic root of 264063000 is about 641.5578908958.

The spelling of 264063000 in words is "two hundred sixty-four million, sixty-three thousand".