206606400 has 672 divisors, whose sum is σ = 931273728. Its totient is φ = 38707200.

The previous prime is 206606333. The next prime is 206606441. The reversal of 206606400 is 4606602.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804779 + ... + 4804821.

It is an arithmetic number, because the mean of its divisors is an integer number (1385824).

Almost surely, 2^206606400 is an apocalyptic number.

206606400 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 206606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465636864).

206606400 is an abundant number, since it is smaller than the sum of its proper divisors (724667328).

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

206606400 is a wasteful number, since it uses less digits than its factorization.

206606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

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

The square root of 206606400 is about 14373.8095159217. The cubic root of 206606400 is about 591.1729991337.

It can be divided in two parts, 206 and 606400, that added together give a palindrome (606606).

The spelling of 206606400 in words is "two hundred six million, six hundred six thousand, four hundred".