266008800 has 288 divisors, whose sum is σ = 929940480. Its totient is φ = 65894400.

The previous prime is 266008781. The next prime is 266008819. The reversal of 266008800 is 8800662.

It is an interprime number because it is at equal distance from previous prime (266008781) and next prime (266008819).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3367161 + ... + 3367239.

It is an arithmetic number, because the mean of its divisors is an integer number (3228960).

Almost surely, 2^266008800 is an apocalyptic number.

266008800 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 266008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

266008800 is an abundant number, since it is smaller than the sum of its proper divisors (663931680).

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

266008800 is a wasteful number, since it uses less digits than its factorization.

266008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 266008800 is about 16309.7762093782. The cubic root of 266008800 is about 643.1298511403.

The spelling of 266008800 in words is "two hundred sixty-six million, eight thousand, eight hundred".