20680480 has 48 divisors (see below), whose sum is σ = 50553720. Its totient is φ = 7985152.

The previous prime is 20680453. The next prime is 20680487. The reversal of 20680480 is 8408602.

It can be written as a sum of positive squares in 4 ways, for example, as 18284176 + 2396304 = 4276^2 + 1548^2 .

It is not an unprimeable number, because it can be changed into a prime (20680487) 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, 2412 + ... + 6868.

Almost surely, 2^20680480 is an apocalyptic number.

20680480 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 20680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25276860).

20680480 is an abundant number, since it is smaller than the sum of its proper divisors (29873240).

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

20680480 is a wasteful number, since it uses less digits than its factorization.

20680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20680480 is about 4547.5795759942. The cubic root of 20680480 is about 274.4860040884.

The spelling of 20680480 in words is "twenty million, six hundred eighty thousand, four hundred eighty".