206446968 has 224 divisors, whose sum is σ = 716133600. Its totient is φ = 54307584.

The previous prime is 206446967. The next prime is 206446973. The reversal of 206446968 is 869644602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206446967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530518 + ... + 530906.

It is an arithmetic number, because the mean of its divisors is an integer number (3197025).

Almost surely, 2^206446968 is an apocalyptic number.

206446968 is a gapful number since it is divisible by the number (28) 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 206446968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358066800).

206446968 is an abundant number, since it is smaller than the sum of its proper divisors (509686632).

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

206446968 is a wasteful number, since it uses less digits than its factorization.

206446968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

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

The square root of 206446968 is about 14368.2625254413. The cubic root of 206446968 is about 591.0208964757.

The spelling of 206446968 in words is "two hundred six million, four hundred forty-six thousand, nine hundred sixty-eight".