1021648320 has 672 divisors, whose sum is σ = 4655978496. Its totient is φ = 199065600.

The previous prime is 1021648301. The next prime is 1021648349. The reversal of 1021648320 is 238461201.

1021648320 is a `hidden beast` number, since 10 + 2 + 1 + 648 + 3 + 2 + 0 = 666.

1021648320 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 (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769785 + ... + 3770055.

Almost surely, 2^1021648320 is an apocalyptic number.

1021648320 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 1021648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327989248).

1021648320 is an abundant number, since it is smaller than the sum of its proper divisors (3634330176).

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

1021648320 is a wasteful number, since it uses less digits than its factorization.

1021648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1021648320 is about 31963.2338789429. The cubic root of 1021648320 is about 1007.1646518382.

The spelling of 1021648320 in words is "one billion, twenty-one million, six hundred forty-eight thousand, three hundred twenty".