948217320 has 256 divisors, whose sum is σ = 3359232000. Its totient is φ = 237397248.

The previous prime is 948217271. The next prime is 948217327. The reversal of 948217320 is 23712849.

948217320 is a `hidden beast` number, since 9 + 482 + 173 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (948217327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1465237 + ... + 1465883.

It is an arithmetic number, because the mean of its divisors is an integer number (13122000).

Almost surely, 2^948217320 is an apocalyptic number.

948217320 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 948217320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679616000).

948217320 is an abundant number, since it is smaller than the sum of its proper divisors (2411014680).

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

948217320 is a wasteful number, since it uses less digits than its factorization.

948217320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 948217320 is about 30793.1375471874. The cubic root of 948217320 is about 982.4322894891.

The spelling of 948217320 in words is "nine hundred forty-eight million, two hundred seventeen thousand, three hundred twenty".