20681120 has 48 divisors (see below), whose sum is σ = 51438240. Its totient is φ = 7835904.

The previous prime is 20681107. The next prime is 20681137. The reversal of 20681120 is 2118602.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20681092 and 20681101.

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 7 ways as a sum of consecutive naturals, for example, 362 + ... + 6441.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^20681120 is an apocalyptic number.

20681120 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 20681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719120).

20681120 is an abundant number, since it is smaller than the sum of its proper divisors (30757120).

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

20681120 is a wasteful number, since it uses less digits than its factorization.

20681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 20681120 is about 4547.6499425527. The cubic root of 20681120 is about 274.4888355706.

Adding to 20681120 its reverse (2118602), we get a palindrome (22799722).

The spelling of 20681120 in words is "twenty million, six hundred eighty-one thousand, one hundred twenty".