206342496 has 72 divisors (see below), whose sum is σ = 588205800. Its totient is φ = 68614656.

The previous prime is 206342491. The next prime is 206342497. The reversal of 206342496 is 694243602.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 206342496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206342491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196180 + ... + 197228.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2^206342496 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 206342496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294102900).

206342496 is an abundant number, since it is smaller than the sum of its proper divisors (381863304).

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

206342496 is a wasteful number, since it uses less digits than its factorization.

206342496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 206342496 is about 14364.6265527510. The cubic root of 206342496 is about 590.9211847451.

The spelling of 206342496 in words is "two hundred six million, three hundred forty-two thousand, four hundred ninety-six".