20011968 has 112 divisors (see below), whose sum is σ = 60614560. Its totient is φ = 6469632.

The previous prime is 20011967. The next prime is 20011987. The reversal of 20011968 is 86911002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011967) 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, 63780 + ... + 64092.

Almost surely, 2^20011968 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 20011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30307280).

20011968 is an abundant number, since it is smaller than the sum of its proper divisors (40602592).

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

20011968 is a wasteful number, since it uses less digits than its factorization.

20011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20011968 is about 4473.4738179629. The cubic root of 20011968 is about 271.4958944466.

It can be divided in two parts, 2001 and 1968, that added together give a square (3969 = 63²).

The spelling of 20011968 in words is "twenty million, eleven thousand, nine hundred sixty-eight".