20664600 has 192 divisors, whose sum is σ = 72852480. Its totient is φ = 4800000.

The previous prime is 20664587. The next prime is 20664601. The reversal of 20664600 is 646602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20664601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 204550 + ... + 204650.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 2^20664600 is an apocalyptic number.

20664600 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 20664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

20664600 is an abundant number, since it is smaller than the sum of its proper divisors (52187880).

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

20664600 is a wasteful number, since it uses less digits than its factorization.

20664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20664600 is about 4545.8332569508. The cubic root of 20664600 is about 274.4157292221.

It can be divided in two parts, 2066 and 4600, that added together give a palindrome (6666).

The spelling of 20664600 in words is "twenty million, six hundred sixty-four thousand, six hundred".