20800512 has 132 divisors (see below), whose sum is σ = 62695516. Its totient is φ = 6635520.

The previous prime is 20800501. The next prime is 20800517. The reversal of 20800512 is 21500802.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 11943936 = 2976^2 + 3456^2 .

It is a super-2 number, since 2×20800512² = 865322598924288, which contains 22 as substring.

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 (20800517) 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, 340962 + ... + 341022.

Almost surely, 2^20800512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31347758).

20800512 is an abundant number, since it is smaller than the sum of its proper divisors (41895004).

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

20800512 is a wasteful number, since it uses less digits than its factorization.

20800512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20800512 is about 4560.7578317644. The cubic root of 20800512 is about 275.0160299196.

It can be divided in two parts, 20800 and 512, that added together give a palindrome (21312).

The spelling of 20800512 in words is "twenty million, eight hundred thousand, five hundred twelve".