948093120 has 448 divisors, whose sum is σ = 3768791040. Its totient is φ = 222621696.

The previous prime is 948093089. The next prime is 948093149. The reversal of 948093120 is 21390849.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2583177 + ... + 2583543.

It is an arithmetic number, because the mean of its divisors is an integer number (8412480).

Almost surely, 2^948093120 is an apocalyptic number.

948093120 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 948093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884395520).

948093120 is an abundant number, since it is smaller than the sum of its proper divisors (2820697920).

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

948093120 is a wasteful number, since it uses less digits than its factorization.

948093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 948093120 is about 30791.1207980483. The cubic root of 948093120 is about 982.3893937606.

The spelling of 948093120 in words is "nine hundred forty-eight million, ninety-three thousand, one hundred twenty".