20064000 has 288 divisors, whose sum is σ = 76527360. Its totient is φ = 4608000.

The previous prime is 20063999. The next prime is 20064001. The reversal of 20064000 is 46002.

It is an interprime number because it is at equal distance from previous prime (20063999) and next prime (20064001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20064001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055991 + ... + 1056009.

It is an arithmetic number, because the mean of its divisors is an integer number (265720).

Almost surely, 2^20064000 is an apocalyptic number.

20064000 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 20064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263680).

20064000 is an abundant number, since it is smaller than the sum of its proper divisors (56463360).

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

20064000 is a wasteful number, since it uses less digits than its factorization.

20064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20064000 is about 4479.2856573342. The cubic root of 20064000 is about 271.7309912461.

It can be divided in two parts, 2006 and 4000, that added together give a palindrome (6006).

The spelling of 20064000 in words is "twenty million, sixty-four thousand".