20268800 has 54 divisors (see below), whose sum is σ = 50184288. Its totient is φ = 8104960.

The previous prime is 20268799. The next prime is 20268817. The reversal of 20268800 is 886202.

It is a self number, because there is not a number n which added to its sum of digits gives 20268800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4817 + ... + 7983.

Almost surely, 2^20268800 is an apocalyptic number.

20268800 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 20268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25092144).

20268800 is an abundant number, since it is smaller than the sum of its proper divisors (29915488).

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

20268800 is an equidigital number, since it uses as much as digits as its factorization.

20268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 20268800 is about 4502.0884042853. The cubic root of 20268800 is about 272.6524131241.

The spelling of 20268800 in words is "twenty million, two hundred sixty-eight thousand, eight hundred".