948132000 has 192 divisors, whose sum is σ = 3451593600. Its totient is φ = 252806400.

The previous prime is 948131969. The next prime is 948132001. The reversal of 948132000 is 231849.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (948132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103611 + ... + 112389.

It is an arithmetic number, because the mean of its divisors is an integer number (17977050).

Almost surely, 2^948132000 is an apocalyptic number.

948132000 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 948132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725796800).

948132000 is an abundant number, since it is smaller than the sum of its proper divisors (2503461600).

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

948132000 is a wasteful number, since it uses less digits than its factorization.

948132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 948132000 is about 30791.7521424163. The cubic root of 948132000 is about 982.4028223914.

Adding to 948132000 its reverse (231849), we get a palindrome (948363849).

The spelling of 948132000 in words is "nine hundred forty-eight million, one hundred thirty-two thousand".