20218968 has 144 divisors (see below), whose sum is σ = 69624360. Its totient is φ = 5241600.

The previous prime is 20218949. The next prime is 20218969. The reversal of 20218968 is 86981202.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (20218969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38548 + ... + 39068.

Almost surely, 2^20218968 is an apocalyptic number.

20218968 is a gapful number since it is divisible by the number (28) 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 20218968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34812180).

20218968 is an abundant number, since it is smaller than the sum of its proper divisors (49405392).

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

20218968 is a wasteful number, since it uses less digits than its factorization.

20218968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20218968 is about 4496.5506780198. The cubic root of 20218968 is about 272.4287859247.

The spelling of 20218968 in words is "twenty million, two hundred eighteen thousand, nine hundred sixty-eight".