266400960 has 224 divisors, whose sum is σ = 1000719360. Its totient is φ = 58748928.

The previous prime is 266400947. The next prime is 266400961. The reversal of 266400960 is 69004662.

266400960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (266400961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194197 + ... + 195563.

Almost surely, 2^266400960 is an apocalyptic number.

266400960 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 266400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500359680).

266400960 is an abundant number, since it is smaller than the sum of its proper divisors (734318400).

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

266400960 is a wasteful number, since it uses less digits than its factorization.

266400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 266400960 is about 16321.7940190409. The cubic root of 266400960 is about 643.4457378890.

The spelling of 266400960 in words is "two hundred sixty-six million, four hundred thousand, nine hundred sixty".