20084064 has 288 divisors, whose sum is σ = 75075840. Its totient is φ = 4561920.

The previous prime is 20084047. The next prime is 20084101. The reversal of 20084064 is 46048002.

It is a super-3 number, since 3×20084064³ (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1057047 + ... + 1057065.

It is an arithmetic number, because the mean of its divisors is an integer number (260680).

Almost surely, 2^20084064 is an apocalyptic number.

20084064 is a gapful number since it is divisible by the number (24) 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 20084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).

20084064 is an abundant number, since it is smaller than the sum of its proper divisors (54991776).

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

20084064 is a wasteful number, since it uses less digits than its factorization.

20084064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20084064 is about 4481.5247405320. The cubic root of 20084064 is about 271.8215380676.

The spelling of 20084064 in words is "twenty million, eighty-four thousand, sixty-four".