20168064 has 192 divisors, whose sum is σ = 69058080. Its totient is φ = 5529600.

The previous prime is 20168059. The next prime is 20168077. The reversal of 20168064 is 46086102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330594 + ... + 330654.

Almost surely, 2^20168064 is an apocalyptic number.

20168064 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 20168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34529040).

20168064 is an abundant number, since it is smaller than the sum of its proper divisors (48890016).

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

20168064 is a wasteful number, since it uses less digits than its factorization.

20168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

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

The square root of 20168064 is about 4490.8867721197. The cubic root of 20168064 is about 272.1999682920.

It can be divided in two parts, 2016 and 8064, that multiplied together give a square (16257024 = 4032²).

The spelling of 20168064 in words is "twenty million, one hundred sixty-eight thousand, sixty-four".