20071968 has 144 divisors (see below), whose sum is σ = 65155104. Its totient is φ = 5376000.

The previous prime is 20071963. The next prime is 20071991. The reversal of 20071968 is 86917002.

It is not an unprimeable number, because it can be changed into a prime (20071963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79843 + ... + 80093.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 2^20071968 is an apocalyptic number.

20071968 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 20071968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

20071968 is an abundant number, since it is smaller than the sum of its proper divisors (45083136).

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

20071968 is a wasteful number, since it uses less digits than its factorization.

20071968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 20071968 is about 4480.1749965822. The cubic root of 20071968 is about 271.7669572546.

The spelling of 20071968 in words is "twenty million, seventy-one thousand, nine hundred sixty-eight".