20213766 has 64 divisors (see below), whose sum is σ = 47132160. Its totient is φ = 6415200.

The previous prime is 20213761. The next prime is 20213819. The reversal of 20213766 is 66731202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133791 + ... + 133941.

It is an arithmetic number, because the mean of its divisors is an integer number (736440).

Almost surely, 2^20213766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566080).

20213766 is an abundant number, since it is smaller than the sum of its proper divisors (26918394).

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

20213766 is a wasteful number, since it uses less digits than its factorization.

20213766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20213766 is about 4495.9721974229. The cubic root of 20213766 is about 272.4054201409.

Adding to 20213766 its reverse (66731202), we get a palindrome (86944968).

The spelling of 20213766 in words is "twenty million, two hundred thirteen thousand, seven hundred sixty-six".