20371968 has 60 divisors (see below), whose sum is σ = 58808178. Its totient is φ = 6789120.

The previous prime is 20371963. The next prime is 20371969. The reversal of 20371968 is 86917302.

It can be written as a sum of positive squares in only one way, i.e., 14379264 + 5992704 = 3792^2 + 2448^2 .

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (20371963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2398 + ... + 6818.

Almost surely, 2^20371968 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 20371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29404089).

20371968 is an abundant number, since it is smaller than the sum of its proper divisors (38436210).

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

20371968 is an equidigital number, since it uses as much as digits as its factorization.

20371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 20371968 is about 4513.5316549239. The cubic root of 20371968 is about 273.1142298605.

It can be divided in two parts, 2037 and 1968, that added together give a triangular number (4005 = T₈₉).

The spelling of 20371968 in words is "twenty million, three hundred seventy-one thousand, nine hundred sixty-eight".