4205968 has 40 divisors (see below), whose sum is σ = 8928248. Its totient is φ = 1907712.

The previous prime is 4205951. The next prime is 4205977. The reversal of 4205968 is 8695024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 4194304 = 108^2 + 2048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15046 + ... + 15322.

Almost surely, 2^4205968 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 4205968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464124).

4205968 is an abundant number, since it is smaller than the sum of its proper divisors (4722280).

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

4205968 is a wasteful number, since it uses less digits than its factorization.

4205968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 4205968 is about 2050.8456792260. The cubic root of 4205968 is about 161.4192486104.

The spelling of 4205968 in words is "four million, two hundred five thousand, nine hundred sixty-eight".