206093952 has 192 divisors, whose sum is σ = 636480000. Its totient is φ = 63866880.

The previous prime is 206093947. The next prime is 206093957. The reversal of 206093952 is 259390602.

206093952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206093947) and next prime (206093957).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (206093957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035549 + ... + 1035747.

It is an arithmetic number, because the mean of its divisors is an integer number (3315000).

Almost surely, 2^206093952 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 206093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318240000).

206093952 is an abundant number, since it is smaller than the sum of its proper divisors (430386048).

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

206093952 is a wasteful number, since it uses less digits than its factorization.

206093952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 206093952 is about 14355.9726943179. The cubic root of 206093952 is about 590.6838303035.

The spelling of 206093952 in words is "two hundred six million, ninety-three thousand, nine hundred fifty-two".