948800 has 42 divisors (see below), whose sum is σ = 2338578. Its totient is φ = 378880.

The previous prime is 948799. The next prime is 948839. The reversal of 948800 is 8849.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 861184 = 296^2 + 928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1304 + ... + 1896.

2⁹⁴⁸⁸⁰⁰ 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 948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169289).

948800 is an abundant number, since it is smaller than the sum of its proper divisors (1389778).

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

948800 is a wasteful number, since it uses less digits than its factorization.

948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 948800 is about 974.0636529509. The cubic root of 948800 is about 98.2633483322.

The spelling of 948800 in words is "nine hundred forty-eight thousand, eight hundred".