20418000 has 160 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 5248000.

The previous prime is 20417987. The next prime is 20418011. The reversal of 20418000 is 81402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245959 + ... + 246041.

Almost surely, 2^20418000 is an apocalyptic number.

20418000 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 20418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

20418000 is an abundant number, since it is smaller than the sum of its proper divisors (47827632).

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

20418000 is a wasteful number, since it uses less digits than its factorization.

20418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20418000 is about 4518.6281103893. The cubic root of 20418000 is about 273.3197825260.

Adding to 20418000 its reverse (81402), we get a palindrome (20499402).

The spelling of 20418000 in words is "twenty million, four hundred eighteen thousand".