948632832 has 216 divisors, whose sum is σ = 3156753600. Its totient is φ = 268369920.

The previous prime is 948632821. The next prime is 948632837. The reversal of 948632832 is 238236849.

948632832 is a `hidden beast` number, since 9 + 4 + 8 + 632 + 8 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948632837) 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 23 ways as a sum of consecutive naturals, for example, 2112544 + ... + 2112992.

It is an arithmetic number, because the mean of its divisors is an integer number (14614600).

Almost surely, 2^948632832 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 948632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578376800).

948632832 is an abundant number, since it is smaller than the sum of its proper divisors (2208120768).

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

948632832 is a wasteful number, since it uses less digits than its factorization.

948632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 948632832 is about 30799.8836361438. The cubic root of 948632832 is about 982.5757702379.

The spelling of 948632832 in words is "nine hundred forty-eight million, six hundred thirty-two thousand, eight hundred thirty-two".