1020304640 has 72 divisors (see below), whose sum is σ = 2587765320. Its totient is φ = 384106496.

The previous prime is 1020304631. The next prime is 1020304687. The reversal of 1020304640 is 464030201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 208282624 + 812022016 = 14432^2 + 28496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685 + ... + 45204.

It is an arithmetic number, because the mean of its divisors is an integer number (35941185).

Almost surely, 2^1020304640 is an apocalyptic number.

1020304640 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 1020304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293882660).

1020304640 is an abundant number, since it is smaller than the sum of its proper divisors (1567460680).

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

1020304640 is an equidigital number, since it uses as much as digits as its factorization.

1020304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46927 (or 46913 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1020304640 is about 31942.2078134872. The cubic root of 1020304640 is about 1006.7229144679.

Adding to 1020304640 its reverse (464030201), we get a palindrome (1484334841).

The spelling of 1020304640 in words is "one billion, twenty million, three hundred four thousand, six hundred forty".