20911968 has 288 divisors, whose sum is σ = 79252992. Its totient is φ = 5068800.

The previous prime is 20911963. The next prime is 20912029. The reversal of 20911968 is 86911902.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20911963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510028 + ... + 510068.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^20911968 is an apocalyptic number.

20911968 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 20911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

20911968 is an abundant number, since it is smaller than the sum of its proper divisors (58341024).

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

20911968 is a wasteful number, since it uses less digits than its factorization.

20911968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 20911968 is about 4572.9605290227. The cubic root of 20911968 is about 275.5063640174.

The spelling of 20911968 in words is "twenty million, nine hundred eleven thousand, nine hundred sixty-eight".