206400544 has 72 divisors (see below), whose sum is σ = 476597520. Its totient is φ = 87728256.

The previous prime is 206400533. The next prime is 206400583. The reversal of 206400544 is 445004602.

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, 217479 + ... + 218425.

It is an arithmetic number, because the mean of its divisors is an integer number (6619410).

Almost surely, 2^206400544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238298760).

206400544 is an abundant number, since it is smaller than the sum of its proper divisors (270196976).

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

206400544 is a wasteful number, since it uses less digits than its factorization.

206400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 206400544 is about 14366.6469296075. The cubic root of 206400544 is about 590.9765919403.

The spelling of 206400544 in words is "two hundred six million, four hundred thousand, five hundred forty-four".