20536416 has 144 divisors (see below), whose sum is σ = 64209600. Its totient is φ = 6438528.

The previous prime is 20536393. The next prime is 20536421. The reversal of 20536416 is 61463502.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20536416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147675 + ... + 147813.

It is an arithmetic number, because the mean of its divisors is an integer number (445900).

Almost surely, 2^20536416 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 20536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104800).

20536416 is an abundant number, since it is smaller than the sum of its proper divisors (43673184).

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

20536416 is a wasteful number, since it uses less digits than its factorization.

20536416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20536416 is about 4531.7122591797. The cubic root of 20536416 is about 273.8471451056.

Adding to 20536416 its reverse (61463502), we get a palindrome (81999918).

The spelling of 20536416 in words is "twenty million, five hundred thirty-six thousand, four hundred sixteen".