20416968 has 128 divisors (see below), whose sum is σ = 66729600. Its totient is φ = 5702400.

The previous prime is 20416961. The next prime is 20416987. The reversal of 20416968 is 86961402.

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 (20416961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30558 + ... + 31218.

It is an arithmetic number, because the mean of its divisors is an integer number (521325).

Almost surely, 2^20416968 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 20416968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33364800).

20416968 is an abundant number, since it is smaller than the sum of its proper divisors (46312632).

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

20416968 is a wasteful number, since it uses less digits than its factorization.

20416968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20416968 is about 4518.5139149946. The cubic root of 20416968 is about 273.3151775897.

It can be divided in two parts, 2041 and 6968, that added together give a palindrome (9009).

The spelling of 20416968 in words is "twenty million, four hundred sixteen thousand, nine hundred sixty-eight".