20006800 has 60 divisors (see below), whose sum is σ = 52447536. Its totient is φ = 7273600.

The previous prime is 20006797. The next prime is 20006801. The reversal of 20006800 is 860002.

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

It is not an unprimeable number, because it can be changed into a prime (20006801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2127 + ... + 6673.

Almost surely, 2^20006800 is an apocalyptic number.

20006800 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 20006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26223768).

20006800 is an abundant number, since it is smaller than the sum of its proper divisors (32440736).

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

20006800 is a wasteful number, since it uses less digits than its factorization.

20006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20006800 is about 4472.8961535005. The cubic root of 20006800 is about 271.4725215733.

Adding to 20006800 its reverse (860002), we get a palindrome (20866802).

The spelling of 20006800 in words is "twenty million, six thousand, eight hundred".