266208800 has 216 divisors, whose sum is σ = 771981840. Its totient is φ = 88857600.

The previous prime is 266208793. The next prime is 266208823. The reversal of 266208800 is 8802662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1487111 + ... + 1487289.

It is an arithmetic number, because the mean of its divisors is an integer number (3573990).

Almost surely, 2^266208800 is an apocalyptic number.

266208800 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 266208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385990920).

266208800 is an abundant number, since it is smaller than the sum of its proper divisors (505773040).

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

266208800 is a wasteful number, since it uses less digits than its factorization.

266208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 266208800 is about 16315.9063493267. The cubic root of 266208800 is about 643.2909908566.

The spelling of 266208800 in words is "two hundred sixty-six million, two hundred eight thousand, eight hundred".