20355968 has 32 divisors (see below), whose sum is σ = 40953000. Its totient is φ = 10077696.

The previous prime is 20355961. The next prime is 20356013. The reversal of 20355968 is 86955302.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20355961) 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 3 ways as a sum of consecutive naturals, for example, 13223 + ... + 14681.

Almost surely, 2^20355968 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 20355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476500).

20355968 is an abundant number, since it is smaller than the sum of its proper divisors (20597032).

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

20355968 is a wasteful number, since it uses less digits than its factorization.

20355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 20355968 is about 4511.7588588044. The cubic root of 20355968 is about 273.0427104703.

The spelling of 20355968 in words is "twenty million, three hundred fifty-five thousand, nine hundred sixty-eight".