20605200 has 240 divisors, whose sum is σ = 82661376. Its totient is φ = 4262400.

The previous prime is 20605183. The next prime is 20605201. The reversal of 20605200 is 250602.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20605200.

It is not an unprimeable number, because it can be changed into a prime (20605201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92289 + ... + 92511.

Almost surely, 2^20605200 is an apocalyptic number.

20605200 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 20605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330688).

20605200 is an abundant number, since it is smaller than the sum of its proper divisors (62056176).

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

20605200 is a wasteful number, since it uses less digits than its factorization.

20605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20605200 is about 4539.2950994620. The cubic root of 20605200 is about 274.1525426196.

Adding to 20605200 its reverse (250602), we get a palindrome (20855802).

It can be divided in two parts, 2060 and 5200, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 20605200 in words is "twenty million, six hundred five thousand, two hundred".