266768640 has 360 divisors, whose sum is σ = 997210368. Its totient is φ = 68014080.

The previous prime is 266768633. The next prime is 266768657. The reversal of 266768640 is 46867662.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3214039 + ... + 3214121.

Almost surely, 2^266768640 is an apocalyptic number.

266768640 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 266768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498605184).

266768640 is an abundant number, since it is smaller than the sum of its proper divisors (730441728).

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

266768640 is an equidigital number, since it uses as much as digits as its factorization.

266768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 266768640 is about 16333.0536030468. The cubic root of 266768640 is about 643.7416244237.

The spelling of 266768640 in words is "two hundred sixty-six million, seven hundred sixty-eight thousand, six hundred forty".