20045760 has 224 divisors, whose sum is σ = 77053440. Its totient is φ = 4313088.

The previous prime is 20045717. The next prime is 20045777. The reversal of 20045760 is 6754002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20045760.

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 31 ways as a sum of consecutive naturals, for example, 127602 + ... + 127758.

Almost surely, 2^20045760 is an apocalyptic number.

20045760 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 20045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38526720).

20045760 is an abundant number, since it is smaller than the sum of its proper divisors (57007680).

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

20045760 is a wasteful number, since it uses less digits than its factorization.

20045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20045760 is about 4477.2491554525. The cubic root of 20045760 is about 271.6486235565.

Adding to 20045760 its reverse (6754002), we get a palindrome (26799762).

The spelling of 20045760 in words is "twenty million, forty-five thousand, seven hundred sixty".