20045664 has 48 divisors (see below), whose sum is σ = 58469040. Its totient is φ = 6681600.

The previous prime is 20045651. The next prime is 20045681. The reversal of 20045664 is 46654002.

It is a happy number.

20045664 is a `hidden beast` number, since 200 + 456 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10737 + ... + 12464.

It is an arithmetic number, because the mean of its divisors is an integer number (1218105).

Almost surely, 2^20045664 is an apocalyptic number.

20045664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20045664 is an abundant number, since it is smaller than the sum of its proper divisors (38423376).

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

20045664 is a wasteful number, since it uses less digits than its factorization.

20045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23220 (or 23206 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20045664 is about 4477.2384345710. The cubic root of 20045664 is about 271.6481899102.

Adding to 20045664 its reverse (46654002), we get a palindrome (66699666).

The spelling of 20045664 in words is "twenty million, forty-five thousand, six hundred sixty-four".