1020303648 has 384 divisors, whose sum is σ = 3861043200. Its totient is φ = 254555136.

The previous prime is 1020303643. The next prime is 1020303677. The reversal of 1020303648 is 8463030201.

It is a happy number.

1020303648 is a `hidden beast` number, since 10 + 2 + 0 + 3 + 0 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1020303643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493515 + ... + 1494197.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2^1020303648 is an apocalyptic number.

1020303648 is a gapful number since it is divisible by the number (18) 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 1020303648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

1020303648 is an abundant number, since it is smaller than the sum of its proper divisors (2840739552).

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

1020303648 is a wasteful number, since it uses less digits than its factorization.

1020303648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1020303648 is about 31942.1922854396. The cubic root of 1020303648 is about 1006.7225882028.

Adding to 1020303648 its reverse (8463030201), we get a palindrome (9483333849).

The spelling of 1020303648 in words is "one billion, twenty million, three hundred three thousand, six hundred forty-eight".