20718000 has 120 divisors (see below), whose sum is σ = 72423936. Its totient is φ = 5520000.

The previous prime is 20717993. The next prime is 20718011. The reversal of 20718000 is 81702.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17425 + ... + 18575.

Almost surely, 2^20718000 is an apocalyptic number.

20718000 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 20718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211968).

20718000 is an abundant number, since it is smaller than the sum of its proper divisors (51705936).

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

20718000 is a wasteful number, since it uses less digits than its factorization.

20718000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 20718000 is about 4551.7029780072. The cubic root of 20718000 is about 274.6519011553.

Adding to 20718000 its reverse (81702), we get a palindrome (20799702).

The spelling of 20718000 in words is "twenty million, seven hundred eighteen thousand".