266496000 has 192 divisors, whose sum is σ = 889237440. Its totient is φ = 70860800.

The previous prime is 266495989. The next prime is 266496001. The reversal of 266496000 is 694662.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (266496001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767827 + ... + 768173.

It is an arithmetic number, because the mean of its divisors is an integer number (4631445).

Almost surely, 2^266496000 is an apocalyptic number.

266496000 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 266496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444618720).

266496000 is an abundant number, since it is smaller than the sum of its proper divisors (622741440).

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

266496000 is an equidigital number, since it uses as much as digits as its factorization.

266496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 266496000 is about 16324.7052040764. The cubic root of 266496000 is about 643.5222463872.

The spelling of 266496000 in words is "two hundred sixty-six million, four hundred ninety-six thousand".