20620800 has 180 divisors, whose sum is σ = 74208420. Its totient is φ = 5468160.

The previous prime is 20620793. The next prime is 20620801. The reversal of 20620800 is 802602.

It is a tau number, because it is divible by the number of its divisors (180).

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 (20620801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115111 + ... + 115289.

It is an arithmetic number, because the mean of its divisors is an integer number (412269).

Almost surely, 2^20620800 is an apocalyptic number.

20620800 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 20620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37104210).

20620800 is an abundant number, since it is smaller than the sum of its proper divisors (53587620).

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

20620800 is a wasteful number, since it uses less digits than its factorization.

20620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

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

The square root of 20620800 is about 4541.0131028219. The cubic root of 20620800 is about 274.2217112569.

The spelling of 20620800 in words is "twenty million, six hundred twenty thousand, eight hundred".