20406000 has 160 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 5126400.

The previous prime is 20405993. The next prime is 20406011. The reversal of 20406000 is 60402.

20406000 = 783² + 784² + ... + 814².

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113911 + ... + 114089.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^20406000 is an apocalyptic number.

20406000 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 20406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

20406000 is an abundant number, since it is smaller than the sum of its proper divisors (49232400).

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

20406000 is a wasteful number, since it uses less digits than its factorization.

20406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20406000 is about 4517.3000785868. The cubic root of 20406000 is about 273.2662271641.

Adding to 20406000 its reverse (60402), we get a palindrome (20466402).

The spelling of 20406000 in words is "twenty million, four hundred six thousand".