20350800 has 90 divisors (see below), whose sum is σ = 70635422. Its totient is φ = 5425920.

The previous prime is 20350789. The next prime is 20350807. The reversal of 20350800 is 805302.

It can be written as a sum of positive squares in 3 ways, for example, as 3111696 + 17239104 = 1764^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20350807) 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 17 ways as a sum of consecutive naturals, for example, 774 + ... + 6426.

Almost surely, 2^20350800 is an apocalyptic number.

20350800 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 20350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35317711).

20350800 is an abundant number, since it is smaller than the sum of its proper divisors (50284622).

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

20350800 is a wasteful number, since it uses less digits than its factorization.

20350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20350800 is about 4511.1860968043. The cubic root of 20350800 is about 273.0196017001.

The spelling of 20350800 in words is "twenty million, three hundred fifty thousand, eight hundred".