20065968 has 120 divisors (see below), whose sum is σ = 62874448. Its totient is φ = 6158592.

The previous prime is 20065963. The next prime is 20065987. The reversal of 20065968 is 86956002.

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

It is not an unprimeable number, because it can be changed into a prime (20065961) 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 23 ways as a sum of consecutive naturals, for example, 50346 + ... + 50742.

Almost surely, 2^20065968 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 20065968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31437224).

20065968 is an abundant number, since it is smaller than the sum of its proper divisors (42808480).

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

20065968 is a wasteful number, since it uses less digits than its factorization.

20065968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 20065968 is about 4479.5053298327. The cubic root of 20065968 is about 271.7398753022.

The spelling of 20065968 in words is "twenty million, sixty-five thousand, nine hundred sixty-eight".