20580768 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 6031872.

The previous prime is 20580767. The next prime is 20580773. The reversal of 20580768 is 86708502.

20580768 is a `hidden beast` number, since 2 + 0 + 580 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20580768² = 847136022939648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20580767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85993 + ... + 86231.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^20580768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20580768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20580768 is an abundant number, since it is smaller than the sum of its proper divisors (45463392).

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

20580768 is a wasteful number, since it uses less digits than its factorization.

20580768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20580768 is about 4536.6031345049. The cubic root of 20580768 is about 274.0441437038.

The spelling of 20580768 in words is "twenty million, five hundred eighty thousand, seven hundred sixty-eight".