266406000 has 160 divisors (see below), whose sum is σ = 981746688. Its totient is φ = 60883200.

The previous prime is 266405999. The next prime is 266406001. The reversal of 266406000 is 604662.

It is an interprime number because it is at equal distance from previous prime (266405999) and next prime (266406001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266406001) 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, 38829 + ... + 45171.

Almost surely, 2^266406000 is an apocalyptic number.

266406000 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 266406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490873344).

266406000 is an abundant number, since it is smaller than the sum of its proper divisors (715340688).

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

266406000 is a wasteful number, since it uses less digits than its factorization.

266406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 266406000 is about 16321.9484131031. The cubic root of 266406000 is about 643.4497956147.

It can be divided in two parts, 26640 and 6000, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 266406000 in words is "two hundred sixty-six million, four hundred six thousand".