206736432 has 160 divisors (see below), whose sum is σ = 641625600. Its totient is φ = 56125440.

The previous prime is 206736421. The next prime is 206736433. The reversal of 206736432 is 234637602.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 206736393 and 206736402.

It is not an unprimeable number, because it can be changed into a prime (206736433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592194 + ... + 592542.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^206736432 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 206736432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320812800).

206736432 is an abundant number, since it is smaller than the sum of its proper divisors (434889168).

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

206736432 is a wasteful number, since it uses less digits than its factorization.

206736432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 206736432 is about 14378.3320312198. The cubic root of 206736432 is about 591.2969954316.

The spelling of 206736432 in words is "two hundred six million, seven hundred thirty-six thousand, four hundred thirty-two".