266282640 has 400 divisors, whose sum is σ = 1039777200. Its totient is φ = 62705664.

The previous prime is 266282623. The next prime is 266282641. The reversal of 266282640 is 46282662.

266282640 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 8 + 2 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6170256 + 260112384 = 2484^2 + 16128^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 266282595 and 266282604.

It is not an unprimeable number, because it can be changed into a prime (266282641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2442906 + ... + 2443014.

It is an arithmetic number, because the mean of its divisors is an integer number (2599443).

Almost surely, 2^266282640 is an apocalyptic number.

266282640 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 266282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519888600).

266282640 is an abundant number, since it is smaller than the sum of its proper divisors (773494560).

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

266282640 is a wasteful number, since it uses less digits than its factorization.

266282640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 266282640 is about 16318.1690149355. The cubic root of 266282640 is about 643.3504632401.

The spelling of 266282640 in words is "two hundred sixty-six million, two hundred eighty-two thousand, six hundred forty".