948558168 has 64 divisors (see below), whose sum is σ = 2642064000. Its totient is φ = 315324576.

The previous prime is 948558133. The next prime is 948558179. The reversal of 948558168 is 861855849.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76071 + ... + 87657.

It is an arithmetic number, because the mean of its divisors is an integer number (41282250).

Almost surely, 2^948558168 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 948558168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321032000).

948558168 is an abundant number, since it is smaller than the sum of its proper divisors (1693505832).

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

948558168 is a wasteful number, since it uses less digits than its factorization.

948558168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11971 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 948558168 is about 30798.6715297917. The cubic root of 948558168 is about 982.5499910465.

The spelling of 948558168 in words is "nine hundred forty-eight million, five hundred fifty-eight thousand, one hundred sixty-eight".