20120320 has 72 divisors (see below), whose sum is σ = 52612560. Its totient is φ = 7311360.

The previous prime is 20120281. The next prime is 20120323. The reversal of 20120320 is 2302102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20120297 and 20120306.

It is not an unprimeable number, because it can be changed into a prime (20120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13366 + ... + 14794.

It is an arithmetic number, because the mean of its divisors is an integer number (730730).

Almost surely, 2^20120320 is an apocalyptic number.

20120320 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 20120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26306280).

20120320 is an abundant number, since it is smaller than the sum of its proper divisors (32492240).

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

20120320 is a wasteful number, since it uses less digits than its factorization.

20120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20120320 is about 4485.5679684963. The cubic root of 20120320 is about 271.9850049404.

Adding to 20120320 its reverse (2302102), we get a palindrome (22422422).

The spelling of 20120320 in words is "twenty million, one hundred twenty thousand, three hundred twenty".