948108000 has 192 divisors, whose sum is σ = 3550030848. Its totient is φ = 216691200.

The previous prime is 948107983. The next prime is 948108023. The reversal of 948108000 is 801849.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 78357 + ... + 89643.

It is an arithmetic number, because the mean of its divisors is an integer number (18489744).

Almost surely, 2^948108000 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 948108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775015424).

948108000 is an abundant number, since it is smaller than the sum of its proper divisors (2601922848).

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

948108000 is a wasteful number, since it uses less digits than its factorization.

948108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 948108000 is about 30791.3624251997. The cubic root of 948108000 is about 982.3945331565.

Adding to 948108000 its reverse (801849), we get a palindrome (948909849).

The spelling of 948108000 in words is "nine hundred forty-eight million, one hundred eight thousand".