206140032 has 128 divisors (see below), whose sum is σ = 695395200. Its totient is φ = 58890240.

The previous prime is 206140027. The next prime is 206140057. The reversal of 206140032 is 230041602.

It is a happy number.

206140032 is a `hidden beast` number, since 20 + 614 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×206140032² = 84987425585922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206139987 and 206140014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19932 + ... + 28452.

It is an arithmetic number, because the mean of its divisors is an integer number (5432775).

Almost surely, 2^206140032 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 206140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347697600).

206140032 is an abundant number, since it is smaller than the sum of its proper divisors (489255168).

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

206140032 is an equidigital number, since it uses as much as digits as its factorization.

206140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206140032 is about 14357.5775115442. The cubic root of 206140032 is about 590.7278501665.

Adding to 206140032 its reverse (230041602), we get a palindrome (436181634).

The spelling of 206140032 in words is "two hundred six million, one hundred forty thousand, thirty-two".