1021020960 has 192 divisors, whose sum is σ = 3379138560. Its totient is φ = 258800640.

The previous prime is 1021020953. The next prime is 1021020961. The reversal of 1021020960 is 690201201.

1021020960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1021020961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877339 + ... + 878501.

It is an arithmetic number, because the mean of its divisors is an integer number (17599680).

Almost surely, 2^1021020960 is an apocalyptic number.

1021020960 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 1021020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689569280).

1021020960 is an abundant number, since it is smaller than the sum of its proper divisors (2358117600).

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

1021020960 is a wasteful number, since it uses less digits than its factorization.

1021020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1021020960 is about 31953.4185964507. The cubic root of 1021020960 is about 1006.9584542712.

The spelling of 1021020960 in words is "one billion, twenty-one million, twenty thousand, nine hundred sixty".