20814300 has 144 divisors (see below), whose sum is σ = 72182880. Its totient is φ = 5114880.

The previous prime is 20814281. The next prime is 20814317. The reversal of 20814300 is 341802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34804 + ... + 35396.

It is an arithmetic number, because the mean of its divisors is an integer number (501270).

Almost surely, 2^20814300 is an apocalyptic number.

20814300 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 20814300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36091440).

20814300 is an abundant number, since it is smaller than the sum of its proper divisors (51368580).

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

20814300 is a wasteful number, since it uses less digits than its factorization.

20814300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20814300 is about 4562.2691722431. The cubic root of 20814300 is about 275.0767829671.

The spelling of 20814300 in words is "twenty million, eight hundred fourteen thousand, three hundred".