20091968 has 112 divisors (see below), whose sum is σ = 47792640. Its totient is φ = 8294400.

The previous prime is 20091961. The next prime is 20091971. The reversal of 20091968 is 86919002.

It is a super-2 number, since 2×20091968² = 807374356226048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20091961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490028 + ... + 490068.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 2^20091968 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 20091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896320).

20091968 is an abundant number, since it is smaller than the sum of its proper divisors (27700672).

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

20091968 is a wasteful number, since it uses less digits than its factorization.

20091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 20091968 is about 4482.4064965150. The cubic root of 20091968 is about 271.8571914702.

The spelling of 20091968 in words is "twenty million, ninety-one thousand, nine hundred sixty-eight".