948852960 has 432 divisors, whose sum is σ = 3594389904. Its totient is φ = 209510400.

The previous prime is 948852917. The next prime is 948852973. The reversal of 948852960 is 69258849.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30608145 + ... + 30608175.

It is an arithmetic number, because the mean of its divisors is an integer number (8320347).

Almost surely, 2^948852960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797194952).

948852960 is an abundant number, since it is smaller than the sum of its proper divisors (2645536944).

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

948852960 is a wasteful number, since it uses less digits than its factorization.

948852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 948852960 is about 30803.4569488556. The cubic root of 948852960 is about 982.6517658194.

The spelling of 948852960 in words is "nine hundred forty-eight million, eight hundred fifty-two thousand, nine hundred sixty".