20406600 has 96 divisors (see below), whose sum is σ = 70308000. Its totient is φ = 5440320.

The previous prime is 20406563. The next prime is 20406611. The reversal of 20406600 is 660402.

20406600 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 660 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3511 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 2^20406600 is an apocalyptic number.

20406600 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 20406600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154000).

20406600 is an abundant number, since it is smaller than the sum of its proper divisors (49901400).

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

20406600 is a wasteful number, since it uses less digits than its factorization.

20406600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20406600 is about 4517.3664894494. The cubic root of 20406600 is about 273.2689054308.

The spelling of 20406600 in words is "twenty million, four hundred six thousand, six hundred".