206295642 has 48 divisors (see below), whose sum is σ = 513482112. Its totient is φ = 58635360.

The previous prime is 206295581. The next prime is 206295659. The reversal of 206295642 is 246592602.

206295642 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 9 + 5 + 642 = 666.

206295642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206295597 and 206295606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20667 + ... + 28977.

It is an arithmetic number, because the mean of its divisors is an integer number (10697544).

Almost surely, 2^206295642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206295642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256741056).

206295642 is an abundant number, since it is smaller than the sum of its proper divisors (307186470).

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

206295642 is a wasteful number, since it uses less digits than its factorization.

206295642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 206295642 is about 14362.9955789174. The cubic root of 206295642 is about 590.8764547168.

The spelling of 206295642 in words is "two hundred six million, two hundred ninety-five thousand, six hundred forty-two".