266814720 has 432 divisors, whose sum is σ = 1033119360. Its totient is φ = 63258624.

The previous prime is 266814719. The next prime is 266814721. The reversal of 266814720 is 27418662.

It is an interprime number because it is at equal distance from previous prime (266814719) and next prime (266814721).

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 (266814721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5034214 + ... + 5034266.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 2^266814720 is an apocalyptic number.

266814720 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 266814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516559680).

266814720 is an abundant number, since it is smaller than the sum of its proper divisors (766304640).

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

266814720 is a wasteful number, since it uses less digits than its factorization.

266814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 266814720 is about 16334.4641785398. The cubic root of 266814720 is about 643.7786876335.

The spelling of 266814720 in words is "two hundred sixty-six million, eight hundred fourteen thousand, seven hundred twenty".