20084600 has 48 divisors (see below), whose sum is σ = 47005920. Its totient is φ = 7980800.

The previous prime is 20084591. The next prime is 20084609. The reversal of 20084600 is 648002.

It is an interprime number because it is at equal distance from previous prime (20084591) and next prime (20084609).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46385 + ... + 46815.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 2^20084600 is an apocalyptic number.

20084600 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 20084600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).

20084600 is an abundant number, since it is smaller than the sum of its proper divisors (26921320).

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

20084600 is a wasteful number, since it uses less digits than its factorization.

20084600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20084600 is about 4481.5845412086. The cubic root of 20084600 is about 271.8239561547.

The spelling of 20084600 in words is "twenty million, eighty-four thousand, six hundred".