20414016 has 168 divisors, whose sum is σ = 68787264. Its totient is φ = 5667840.

The previous prime is 20414011. The next prime is 20414021. The reversal of 20414016 is 61041402.

It is an interprime number because it is at equal distance from previous prime (20414011) and next prime (20414021).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20414016.

It is not an unprimeable number, because it can be changed into a prime (20414011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245911 + ... + 245993.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^20414016 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 20414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34393632).

20414016 is an abundant number, since it is smaller than the sum of its proper divisors (48373248).

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

20414016 is a wasteful number, since it uses less digits than its factorization.

20414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20414016 is about 4518.1872471158. The cubic root of 20414016 is about 273.3020044733.

Adding to 20414016 its reverse (61041402), we get a palindrome (81455418).

The spelling of 20414016 in words is "twenty million, four hundred fourteen thousand, sixteen".