1023948960 has 192 divisors, whose sum is σ = 3395250432. Its totient is φ = 258891776.

The previous prime is 1023948949. The next prime is 1023948967. The reversal of 1023948960 is 698493201.

It is not an unprimeable number, because it can be changed into a prime (1023948967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512142 + ... + 1512818.

It is an arithmetic number, because the mean of its divisors is an integer number (17683596).

Almost surely, 2^1023948960 is an apocalyptic number.

1023948960 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 1023948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697625216).

1023948960 is an abundant number, since it is smaller than the sum of its proper divisors (2371301472).

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

1023948960 is a wasteful number, since it uses less digits than its factorization.

1023948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1023948960 is about 31999.2024900622. The cubic root of 1023948960 is about 1007.9200931870.

The spelling of 1023948960 in words is "one billion, twenty-three million, nine hundred forty-eight thousand, nine hundred sixty".