20581668 has 48 divisors (see below), whose sum is σ = 53760000. Its totient is φ = 6809184.

The previous prime is 20581667. The next prime is 20581681. The reversal of 20581668 is 86618502.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20581661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15453 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000).

Almost surely, 2^20581668 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 20581668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880000).

20581668 is an abundant number, since it is smaller than the sum of its proper divisors (33178332).

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

20581668 is a wasteful number, since it uses less digits than its factorization.

20581668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20581668 is about 4536.7023265804. The cubic root of 20581668 is about 274.0481383090.

The spelling of 20581668 in words is "twenty million, five hundred eighty-one thousand, six hundred sixty-eight".