1020307680 has 144 divisors (see below), whose sum is σ = 3979239264. Its totient is φ = 233210880.

The previous prime is 1020307643. The next prime is 1020307763. The reversal of 1020307680 is 867030201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40531 + ... + 60690.

It is an arithmetic number, because the mean of its divisors is an integer number (27633606).

Almost surely, 2^1020307680 is an apocalyptic number.

1020307680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020307680 is an abundant number, since it is smaller than the sum of its proper divisors (2958931584).

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

1020307680 is a wasteful number, since it uses less digits than its factorization.

1020307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101249 (or 101238 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1020307680 is about 31942.2553993922. The cubic root of 1020307680 is about 1006.7239143113.

Adding to 1020307680 its reverse (867030201), we get a palindrome (1887337881).

The spelling of 1020307680 in words is "one billion, twenty million, three hundred seven thousand, six hundred eighty".