206972032 has 64 divisors (see below), whose sum is σ = 433540800. Its totient is φ = 98233344.

The previous prime is 206971987. The next prime is 206972041. The reversal of 206972032 is 230279602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 206971985 and 206972003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674023 + ... + 674329.

It is an arithmetic number, because the mean of its divisors is an integer number (6774075).

Almost surely, 2^206972032 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 206972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216770400).

206972032 is an abundant number, since it is smaller than the sum of its proper divisors (226568768).

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

206972032 is a wasteful number, since it uses less digits than its factorization.

206972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 206972032 is about 14386.5225819167. The cubic root of 206972032 is about 591.5215271933.

The spelling of 206972032 in words is "two hundred six million, nine hundred seventy-two thousand, thirty-two".