20807120 has 20 divisors (see below), whose sum is σ = 48376740. Its totient is φ = 8322816.

The previous prime is 20807093. The next prime is 20807153. The reversal of 20807120 is 2170802.

It can be written as a sum of positive squares in 2 ways, for example, as 15085456 + 5721664 = 3884^2 + 2392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 = 20807092 and 20807101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129965 + ... + 130124.

It is an arithmetic number, because the mean of its divisors is an integer number (2418837).

Almost surely, 2^20807120 is an apocalyptic number.

20807120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20807120 is an abundant number, since it is smaller than the sum of its proper divisors (27569620).

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

20807120 is a wasteful number, since it uses less digits than its factorization.

20807120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260102 (or 260096 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 20807120 is about 4561.4822152454. The cubic root of 20807120 is about 275.0451496117.

Adding to 20807120 its reverse (2170802), we get a palindrome (22977922).

The spelling of 20807120 in words is "twenty million, eight hundred seven thousand, one hundred twenty".