1020648960 has 240 divisors, whose sum is σ = 3651373440. Its totient is φ = 263208960.

The previous prime is 1020648947. The next prime is 1020648971. The reversal of 1020648960 is 698460201.

1020648960 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 648 + 9 + 6 + 0 = 666.

1020648960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713526 + ... + 714954.

It is an arithmetic number, because the mean of its divisors is an integer number (15214056).

Almost surely, 2^1020648960 is an apocalyptic number.

1020648960 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 1020648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825686720).

1020648960 is an abundant number, since it is smaller than the sum of its proper divisors (2630724480).

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

1020648960 is a wasteful number, since it uses less digits than its factorization.

1020648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1020648960 is about 31947.5970927392. The cubic root of 1020648960 is about 1006.8361472662.

The spelling of 1020648960 in words is "one billion, twenty million, six hundred forty-eight thousand, nine hundred sixty".