20477760 has 112 divisors (see below), whose sum is σ = 66056256. Its totient is φ = 5373952.

The previous prime is 20477753. The next prime is 20477777. The reversal of 20477760 is 6777402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79552 + ... + 79808.

It is an arithmetic number, because the mean of its divisors is an integer number (589788).

Almost surely, 2^20477760 is an apocalyptic number.

20477760 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 20477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33028128).

20477760 is an abundant number, since it is smaller than the sum of its proper divisors (45578496).

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

20477760 is a wasteful number, since it uses less digits than its factorization.

20477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 20477760 is about 4525.2359054529. The cubic root of 20477760 is about 273.5861762449.

The spelling of 20477760 in words is "twenty million, four hundred seventy-seven thousand, seven hundred sixty".