20225680 has 40 divisors (see below), whose sum is σ = 48302712. Its totient is φ = 7870464.

The previous prime is 20225677. The next prime is 20225683. The reversal of 20225680 is 8652202.

It is an interprime number because it is at equal distance from previous prime (20225677) and next prime (20225683).

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 18011536 = 1488^2 + 4244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20225683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 457 + ... + 6376.

Almost surely, 2^20225680 is an apocalyptic number.

20225680 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 20225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24151356).

20225680 is an abundant number, since it is smaller than the sum of its proper divisors (28077032).

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

20225680 is a wasteful number, since it uses less digits than its factorization.

20225680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 20225680 is about 4497.2969659563. The cubic root of 20225680 is about 272.4589282430.

Adding to 20225680 its reverse (8652202), we get a palindrome (28877882).

The spelling of 20225680 in words is "twenty million, two hundred twenty-five thousand, six hundred eighty".