20216800 has 72 divisors (see below), whose sum is σ = 50762376. Its totient is φ = 7856640.

The previous prime is 20216761. The next prime is 20216827. The reversal of 20216800 is 861202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29259 + ... + 29941.

It is an arithmetic number, because the mean of its divisors is an integer number (705033).

Almost surely, 2^20216800 is an apocalyptic number.

20216800 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 20216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381188).

20216800 is an abundant number, since it is smaller than the sum of its proper divisors (30545576).

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

20216800 is a wasteful number, since it uses less digits than its factorization.

20216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20216800 is about 4496.3095978814. The cubic root of 20216800 is about 272.4190484227.

The spelling of 20216800 in words is "twenty million, two hundred sixteen thousand, eight hundred".