266416128 has 260 divisors, whose sum is σ = 880106568. Its totient is φ = 79626240.

The previous prime is 266416123. The next prime is 266416177. The reversal of 266416128 is 821614662.

266416128 is a `hidden beast` number, since 2 + 6 + 641 + 6 + 1 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 266416092 and 266416101.

It is not an unprimeable number, because it can be changed into a prime (266416121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649500 + ... + 3649572.

Almost surely, 2^266416128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440053284).

266416128 is an abundant number, since it is smaller than the sum of its proper divisors (613690440).

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

266416128 is an equidigital number, since it uses as much as digits as its factorization.

266416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 266416128 is about 16322.2586672311. The cubic root of 266416128 is about 643.4579495563.

The spelling of 266416128 in words is "two hundred sixty-six million, four hundred sixteen thousand, one hundred twenty-eight".