1020329280 has 168 divisors, whose sum is σ = 3595521384. Its totient is φ = 265420800.

The previous prime is 1020329237. The next prime is 1020329287. The reversal of 1020329280 is 829230201.

It is a happy number.

1020329280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72182016 + 948147264 = 8496^2 + 30792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020329287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113760 + ... + 122400.

It is an arithmetic number, because the mean of its divisors is an integer number (21401913).

Almost surely, 2^1020329280 is an apocalyptic number.

1020329280 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 1020329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797760692).

1020329280 is an abundant number, since it is smaller than the sum of its proper divisors (2575192104).

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

1020329280 is a wasteful number, since it uses less digits than its factorization.

1020329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1020329280 is about 31942.5935077288. The cubic root of 1020329280 is about 1006.7310184047.

Adding to 1020329280 its reverse (829230201), we get a palindrome (1849559481).

The spelling of 1020329280 in words is "one billion, twenty million, three hundred twenty-nine thousand, two hundred eighty".