20984400 has 240 divisors, whose sum is σ = 78417600. Its totient is φ = 5322240.

The previous prime is 20984399. The next prime is 20984423. The reversal of 20984400 is 448902.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313167 + ... + 313233.

It is an arithmetic number, because the mean of its divisors is an integer number (326740).

Almost surely, 2^20984400 is an apocalyptic number.

20984400 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 20984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39208800).

20984400 is an abundant number, since it is smaller than the sum of its proper divisors (57433200).

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

20984400 is a wasteful number, since it uses less digits than its factorization.

20984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20984400 is about 4580.8732791903. The cubic root of 20984400 is about 275.8240844970.

The spelling of 20984400 in words is "twenty million, nine hundred eighty-four thousand, four hundred".