266893200 has 540 divisors, whose sum is σ = 1153603620. Its totient is φ = 56770560.

The previous prime is 266893199. The next prime is 266893201. The reversal of 266893200 is 2398662.

266893200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (266893199) and next prime (266893201).

It can be written as a sum of positive squares in 6 ways, for example, as 6780816 + 260112384 = 2604^2 + 16128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266893201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998756 + ... + 2998844.

It is an arithmetic number, because the mean of its divisors is an integer number (2136303).

Almost surely, 2^266893200 is an apocalyptic number.

266893200 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 266893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576801810).

266893200 is an abundant number, since it is smaller than the sum of its proper divisors (886710420).

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

266893200 is a wasteful number, since it uses less digits than its factorization.

266893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 266893200 is about 16336.8662845724. The cubic root of 266893200 is about 643.8418010911.

The spelling of 266893200 in words is "two hundred sixty-six million, eight hundred ninety-three thousand, two hundred".