20736144 has 240 divisors, whose sum is σ = 73120320. Its totient is φ = 5391360.

The previous prime is 20736137. The next prime is 20736173. The reversal of 20736144 is 44163702.

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, 391222 + ... + 391274.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^20736144 is an apocalyptic number.

20736144 is a gapful number since it is divisible by the number (24) 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 20736144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

20736144 is an abundant number, since it is smaller than the sum of its proper divisors (52384176).

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

20736144 is a wasteful number, since it uses less digits than its factorization.

20736144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20736144 is about 4553.6956420033. The cubic root of 20736144 is about 274.7320541637.

Adding to 20736144 its reverse (44163702), we get a palindrome (64899846).

It can be divided in two parts, 20736 and 144, that multiplied together give a 6-th power (2985984 = 12⁶).

The spelling of 20736144 in words is "twenty million, seven hundred thirty-six thousand, one hundred forty-four".