20288736 has 72 divisors (see below), whose sum is σ = 62145720. Its totient is φ = 6241536.

The previous prime is 20288731. The next prime is 20288753. The reversal of 20288736 is 63788202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20288736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20288731) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1035 + ... + 6453.

It is an arithmetic number, because the mean of its divisors is an integer number (863135).

Almost surely, 2^20288736 is an apocalyptic number.

20288736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20288736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072860).

20288736 is an abundant number, since it is smaller than the sum of its proper divisors (41856984).

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

20288736 is a wasteful number, since it uses less digits than its factorization.

20288736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20288736 is about 4504.3019436978. The cubic root of 20288736 is about 272.7417757136.

The spelling of 20288736 in words is "twenty million, two hundred eighty-eight thousand, seven hundred thirty-six".