206468496 has 120 divisors (see below), whose sum is σ = 634318776. Its totient is φ = 62300160.

The previous prime is 206468467. The next prime is 206468501. The reversal of 206468496 is 694864602.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 193766400 = 3564^2 + 13920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98176 + ... + 100256.

Almost surely, 2^206468496 is an apocalyptic number.

206468496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206468496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317159388).

206468496 is an abundant number, since it is smaller than the sum of its proper divisors (427850280).

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

206468496 is a wasteful number, since it uses less digits than its factorization.

206468496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 206468496 is about 14369.0116570347. The cubic root of 206468496 is about 591.0414393714.

The spelling of 206468496 in words is "two hundred six million, four hundred sixty-eight thousand, four hundred ninety-six".