20578064 has 80 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 8709120.

The previous prime is 20578049. The next prime is 20578067. The reversal of 20578064 is 46087502.

It is a self number, because there is not a number n which added to its sum of digits gives 20578064.

It is not an unprimeable number, because it can be changed into a prime (20578067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161969 + ... + 162095.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^20578064 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 20578064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

20578064 is an abundant number, since it is smaller than the sum of its proper divisors (26085616).

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

20578064 is a wasteful number, since it uses less digits than its factorization.

20578064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 20578064 is about 4536.3051043773. The cubic root of 20578064 is about 274.0321414335.

The spelling of 20578064 in words is "twenty million, five hundred seventy-eight thousand, sixty-four".