20064064 has 42 divisors (see below), whose sum is σ = 41098470. Its totient is φ = 9718272.

The previous prime is 20064053. The next prime is 20064113. The reversal of 20064064 is 46046002.

It can be written as a sum of positive squares in 3 ways, for example, as 16064064 + 4000000 = 4008^2 + 2000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87502 + ... + 87730.

It is an arithmetic number, because the mean of its divisors is an integer number (978535).

Almost surely, 2^20064064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549235).

20064064 is an abundant number, since it is smaller than the sum of its proper divisors (21034406).

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

20064064 is an equidigital number, since it uses as much as digits as its factorization.

20064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 20064064 is about 4479.2928013248. The cubic root of 20064064 is about 271.7312801676.

It can be divided in two parts, 200640 and 64, that added together give a square (200704 = 448²).

The spelling of 20064064 in words is "twenty million, sixty-four thousand, sixty-four".