20845968 has 80 divisors (see below), whose sum is σ = 63287616. Its totient is φ = 5829120.

The previous prime is 20845963. The next prime is 20845991. The reversal of 20845968 is 86954802.

It is not an unprimeable number, because it can be changed into a prime (20845963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5346 + ... + 8382.

Almost surely, 2^20845968 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 20845968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31643808).

20845968 is an abundant number, since it is smaller than the sum of its proper divisors (42441648).

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

20845968 is a wasteful number, since it uses less digits than its factorization.

20845968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 20845968 is about 4565.7384944826. The cubic root of 20845968 is about 275.2162178337.

The spelling of 20845968 in words is "twenty million, eight hundred forty-five thousand, nine hundred sixty-eight".