20501200 has 60 divisors (see below), whose sum is σ = 49818240. Its totient is φ = 8106880.

The previous prime is 20501197. The next prime is 20501203. The reversal of 20501200 is 210502.

It is an interprime number because it is at equal distance from previous prime (20501197) and next prime (20501203).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20501203) 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 11 ways as a sum of consecutive naturals, for example, 42561 + ... + 43039.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 2^20501200 is an apocalyptic number.

20501200 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 20501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

20501200 is an abundant number, since it is smaller than the sum of its proper divisors (29317040).

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

20501200 is a wasteful number, since it uses less digits than its factorization.

20501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 20501200 is about 4527.8250849608. The cubic root of 20501200 is about 273.6905238344.

Adding to 20501200 its reverse (210502), we get a palindrome (20711702).

The spelling of 20501200 in words is "twenty million, five hundred one thousand, two hundred".