206271630 has 64 divisors (see below), whose sum is σ = 551520000. Its totient is φ = 54859680.

The previous prime is 206271629. The next prime is 206271649. The reversal of 206271630 is 36172602.

It is a happy number.

206271630 is a `hidden beast` number, since 2 + 0 + 6 + 27 + 1 + 630 = 666.

206271630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206271594 and 206271603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133965 + ... + 135495.

It is an arithmetic number, because the mean of its divisors is an integer number (8617500).

Almost surely, 2^206271630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206271630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275760000).

206271630 is an abundant number, since it is smaller than the sum of its proper divisors (345248370).

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

206271630 is a wasteful number, since it uses less digits than its factorization.

206271630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 206271630 is about 14362.1596565419. The cubic root of 206271630 is about 590.8535285968.

The spelling of 206271630 in words is "two hundred six million, two hundred seventy-one thousand, six hundred thirty".