20786688 has 120 divisors (see below), whose sum is σ = 64792728. Its totient is φ = 6377472.

The previous prime is 20786681. The next prime is 20786719. The reversal of 20786688 is 88668702.

It is a super-3 number, since 3×20786688³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20786681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59731 + ... + 60077.

Almost surely, 2^20786688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32396364).

20786688 is an abundant number, since it is smaller than the sum of its proper divisors (44006040).

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

20786688 is a wasteful number, since it uses less digits than its factorization.

20786688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 20786688 is about 4559.2420422697. The cubic root of 20786688 is about 274.9550912892.

The spelling of 20786688 in words is "twenty million, seven hundred eighty-six thousand, six hundred eighty-eight".