1020320420 has 48 divisors (see below), whose sum is σ = 2457896448. Its totient is φ = 348520320.

The previous prime is 1020320419. The next prime is 1020320423. The reversal of 1020320420 is 240230201.

1020320420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1020320395 and 1020320404.

It is not an unprimeable number, because it can be changed into a prime (1020320423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24494 + ... + 51386.

It is an arithmetic number, because the mean of its divisors is an integer number (51206176).

Almost surely, 2^1020320420 is an apocalyptic number.

1020320420 is a gapful number since it is divisible by the number (10) 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 1020320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228948224).

1020320420 is an abundant number, since it is smaller than the sum of its proper divisors (1437576028).

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

1020320420 is a wasteful number, since it uses less digits than its factorization.

1020320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27180 (or 27178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1020320420 is about 31942.4548211311. The cubic root of 1020320420 is about 1006.7281044230.

Adding to 1020320420 its reverse (240230201), we get a palindrome (1260550621).

The spelling of 1020320420 in words is "one billion, twenty million, three hundred twenty thousand, four hundred twenty".