20753538 has 48 divisors (see below), whose sum is σ = 45624096. Its totient is φ = 6289920.

The previous prime is 20753533. The next prime is 20753561. The reversal of 20753538 is 83535702.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20753499 and 20753508.

It is not an unprimeable number, because it can be changed into a prime (20753533) 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 23 ways as a sum of consecutive naturals, for example, 98253 + ... + 98463.

It is an arithmetic number, because the mean of its divisors is an integer number (950502).

Almost surely, 2^20753538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20753538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22812048).

20753538 is an abundant number, since it is smaller than the sum of its proper divisors (24870558).

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

20753538 is a wasteful number, since it uses less digits than its factorization.

20753538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 20753538 is about 4555.6051189716. The cubic root of 20753538 is about 274.8088500844.

The spelling of 20753538 in words is "twenty million, seven hundred fifty-three thousand, five hundred thirty-eight".