264368000 has 256 divisors, whose sum is σ = 748500480. Its totient is φ = 92160000.

The previous prime is 264367993. The next prime is 264368011. The reversal of 264368000 is 863462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6447980 + ... + 6448020.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^264368000 is an apocalyptic number.

264368000 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 264368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

264368000 is an abundant number, since it is smaller than the sum of its proper divisors (484132480).

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

264368000 is a wasteful number, since it uses less digits than its factorization.

264368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 264368000 is about 16259.3972828023. The cubic root of 264368000 is about 641.8048015047.

The spelling of 264368000 in words is "two hundred sixty-four million, three hundred sixty-eight thousand".