206648832 has 160 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 62300160.

The previous prime is 206648803. The next prime is 206648839. The reversal of 206648832 is 238846602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206648839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577407 + ... + 1577537.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^206648832 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 206648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

206648832 is an abundant number, since it is smaller than the sum of its proper divisors (398312448).

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

206648832 is a wasteful number, since it uses less digits than its factorization.

206648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 206648832 is about 14375.2854580353. The cubic root of 206648832 is about 591.2134672825.

The spelling of 206648832 in words is "two hundred six million, six hundred forty-eight thousand, eight hundred thirty-two".