948648960 has 528 divisors, whose sum is σ = 4000591296. Its totient is φ = 202899456.

The previous prime is 948648959. The next prime is 948648971. The reversal of 948648960 is 69846849.

It is a junction number, because it is equal to n+sod(n) for n = 948648897 and 948648906.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5483434 + ... + 5483606.

Almost surely, 2^948648960 is an apocalyptic number.

948648960 is a gapful number since it is divisible by the number (90) 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 948648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000295648).

948648960 is an abundant number, since it is smaller than the sum of its proper divisors (3051942336).

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

948648960 is a wasteful number, since it uses less digits than its factorization.

948648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 948648960 is about 30800.1454542020. The cubic root of 948648960 is about 982.5813385645.

The spelling of 948648960 in words is "nine hundred forty-eight million, six hundred forty-eight thousand, nine hundred sixty".