206126400 has 84 divisors (see below), whose sum is σ = 676282112. Its totient is φ = 54965760.

The previous prime is 206126369. The next prime is 206126441. The reversal of 206126400 is 4621602.

It is a happy number.

206126400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16672 + ... + 26271.

Almost surely, 2^206126400 is an apocalyptic number.

206126400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206126400 is an abundant number, since it is smaller than the sum of its proper divisors (470155712).

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

206126400 is a wasteful number, since it uses less digits than its factorization.

206126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42968 (or 42953 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 206126400 is about 14357.1027717991. The cubic root of 206126400 is about 590.7148283070.

The spelling of 206126400 in words is "two hundred six million, one hundred twenty-six thousand, four hundred".