20799360 has 192 divisors, whose sum is σ = 75422880. Its totient is φ = 5271552.

The previous prime is 20799343. The next prime is 20799367. The reversal of 20799360 is 6399702.

20799360 is a `hidden beast` number, since 207 + 99 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×20799360³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20799367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 132402 + ... + 132558.

Almost surely, 2^20799360 is an apocalyptic number.

20799360 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 20799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711440).

20799360 is an abundant number, since it is smaller than the sum of its proper divisors (54623520).

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

20799360 is a wasteful number, since it uses less digits than its factorization.

20799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 20799360 is about 4560.6315352153. The cubic root of 20799360 is about 275.0109527318.

The spelling of 20799360 in words is "twenty million, seven hundred ninety-nine thousand, three hundred sixty".