20173120 has 84 divisors (see below), whose sum is σ = 52902612. Its totient is φ = 7321600.

The previous prime is 20173091. The next prime is 20173133. The reversal of 20173120 is 2137102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6512704 + 13660416 = 2552^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20173094 and 20173103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38460 + ... + 38980.

It is an arithmetic number, because the mean of its divisors is an integer number (629793).

Almost surely, 2^20173120 is an apocalyptic number.

20173120 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 20173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26451306).

20173120 is an abundant number, since it is smaller than the sum of its proper divisors (32729492).

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

20173120 is a wasteful number, since it uses less digits than its factorization.

20173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 20173120 is about 4491.4496546215. The cubic root of 20173120 is about 272.2227126343. Note that the first 3 decimals are identical.

The spelling of 20173120 in words is "twenty million, one hundred seventy-three thousand, one hundred twenty".