20053600 has 72 divisors (see below), whose sum is σ = 55965168. Its totient is φ = 6873600.

The previous prime is 20053573. The next prime is 20053601. The reversal of 20053600 is 635002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20053601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3810 + ... + 7390.

It is an arithmetic number, because the mean of its divisors is an integer number (777294).

Almost surely, 2^20053600 is an apocalyptic number.

20053600 is a gapful number since it is divisible by the number (20) 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 20053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27982584).

20053600 is an abundant number, since it is smaller than the sum of its proper divisors (35911568).

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

20053600 is a wasteful number, since it uses less digits than its factorization.

20053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 20053600 is about 4478.1246074668. The cubic root of 20053600 is about 271.6840333326.

Adding to 20053600 its reverse (635002), we get a palindrome (20688602).

The spelling of 20053600 in words is "twenty million, fifty-three thousand, six hundred".