948864000 has 352 divisors, whose sum is σ = 3617392896. Its totient is φ = 216268800.

The previous prime is 948863989. The next prime is 948864013. The reversal of 948864000 is 468849.

It is a self number, because there is not a number n which added to its sum of digits gives 948864000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687824 + ... + 2688176.

Almost surely, 2^948864000 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 948864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808696448).

948864000 is an abundant number, since it is smaller than the sum of its proper divisors (2668528896).

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

948864000 is a wasteful number, since it uses less digits than its factorization.

948864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 948864000 is about 30803.6361490003. The cubic root of 948864000 is about 982.6555768888.

The spelling of 948864000 in words is "nine hundred forty-eight million, eight hundred sixty-four thousand".