266435680 has 96 divisors (see below), whose sum is σ = 750726144. Its totient is φ = 87369216.

The previous prime is 266435639. The next prime is 266435683. The reversal of 266435680 is 86534662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266435683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20589 + ... + 30931.

It is an arithmetic number, because the mean of its divisors is an integer number (7820064).

Almost surely, 2^266435680 is an apocalyptic number.

266435680 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 266435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375363072).

266435680 is an abundant number, since it is smaller than the sum of its proper divisors (484290464).

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

266435680 is a wasteful number, since it uses less digits than its factorization.

266435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 266435680 is about 16322.8575929584. The cubic root of 266435680 is about 643.4736900724.

It can be divided in two parts, 26643 and 5680, that added together give a palindrome (32323).

The spelling of 266435680 in words is "two hundred sixty-six million, four hundred thirty-five thousand, six hundred eighty".