20693200 has 60 divisors (see below), whose sum is σ = 54246528. Its totient is φ = 7523200.

The previous prime is 20693171. The next prime is 20693203. The reversal of 20693200 is 239602.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20693203) 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, 2049 + ... + 6751.

Almost surely, 2^20693200 is an apocalyptic number.

20693200 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 20693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27123264).

20693200 is an abundant number, since it is smaller than the sum of its proper divisors (33553328).

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

20693200 is a wasteful number, since it uses less digits than its factorization.

20693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 20693200 is about 4548.9779071787. The cubic root of 20693200 is about 274.5422688428.

The spelling of 20693200 in words is "twenty million, six hundred ninety-three thousand, two hundred".