206430336 has 384 divisors, whose sum is σ = 753494400. Its totient is φ = 55351296.

The previous prime is 206430277. The next prime is 206430377. The reversal of 206430336 is 633034602.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×206430336² = 85226967242145792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894886 + ... + 3894938.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^206430336 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 206430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376747200).

206430336 is an abundant number, since it is smaller than the sum of its proper divisors (547064064).

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

206430336 is a wasteful number, since it uses less digits than its factorization.

206430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 206430336 is about 14367.6837381674. The cubic root of 206430336 is about 591.0050245650.

Adding to 206430336 its reverse (633034602), we get a palindrome (839464938).

It can be divided in two parts, 2064 and 30336, that added together give a square (32400 = 180²).

The spelling of 206430336 in words is "two hundred six million, four hundred thirty thousand, three hundred thirty-six".