20842416 has 240 divisors, whose sum is σ = 74280960. Its totient is φ = 5322240.

The previous prime is 20842397. The next prime is 20842421. The reversal of 20842416 is 61424802.

20842416 is a `hidden beast` number, since 208 + 42 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20842416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672321 + ... + 672351.

It is an arithmetic number, because the mean of its divisors is an integer number (309504).

Almost surely, 2^20842416 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 20842416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140480).

20842416 is an abundant number, since it is smaller than the sum of its proper divisors (53438544).

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

20842416 is a wasteful number, since it uses less digits than its factorization.

20842416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20842416 is about 4565.3494937409. The cubic root of 20842416 is about 275.2005853377.

It can be divided in two parts, 208 and 42416, that added together give a palindrome (42624).

The spelling of 20842416 in words is "twenty million, eight hundred forty-two thousand, four hundred sixteen".