20611072 has 64 divisors (see below), whose sum is σ = 44825940. Its totient is φ = 9437184.

The previous prime is 20611057. The next prime is 20611079. The reversal of 20611072 is 27011602.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 2768896 = 4224^2 + 1664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20611079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557038 + ... + 557074.

Almost surely, 2^20611072 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 20611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22412970).

20611072 is an abundant number, since it is smaller than the sum of its proper divisors (24214868).

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

20611072 is an frugal number, since it uses more digits than its factorization.

20611072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 20611072 is about 4539.9418498479. The cubic root of 20611072 is about 274.1785825000.

Adding to 20611072 its reverse (27011602), we get a palindrome (47622674).

It can be divided in two parts, 2061107 and 2, that multiplied together give a palindrome (4122214).

The spelling of 20611072 in words is "twenty million, six hundred eleven thousand, seventy-two".