266049600 has 168 divisors, whose sum is σ = 893856480. Its totient is φ = 69242880.

The previous prime is 266049599. The next prime is 266049601. The reversal of 266049600 is 6940662.

266049600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (266049599) and next prime (266049601).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266049601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205756 + ... + 207044.

Almost surely, 2^266049600 is an apocalyptic number.

266049600 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 266049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446928240).

266049600 is an abundant number, since it is smaller than the sum of its proper divisors (627806880).

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

266049600 is a wasteful number, since it uses less digits than its factorization.

266049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

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

The square root of 266049600 is about 16311.0269449842. The cubic root of 266049600 is about 643.1627301986.

The spelling of 266049600 in words is "two hundred sixty-six million, forty-nine thousand, six hundred".