20205760 has 56 divisors (see below), whose sum is σ = 48499776. Its totient is φ = 8017920.

The previous prime is 20205739. The next prime is 20205767. The reversal of 20205760 is 6750202.

It is not an unprimeable number, because it can be changed into a prime (20205767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74425 + ... + 74695.

Almost surely, 2^20205760 is an apocalyptic number.

20205760 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 20205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249888).

20205760 is an abundant number, since it is smaller than the sum of its proper divisors (28294016).

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

20205760 is a wasteful number, since it uses less digits than its factorization.

20205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 20205760 is about 4495.0817567648. The cubic root of 20205760 is about 272.3694518181.

Adding to 20205760 its reverse (6750202), we get a palindrome (26955962).

The spelling of 20205760 in words is "twenty million, two hundred five thousand, seven hundred sixty".