948672432 has 160 divisors (see below), whose sum is σ = 2937312000. Its totient is φ = 292170240.

The previous prime is 948672401. The next prime is 948672463. The reversal of 948672432 is 234276849.

948672432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (948672401) and next prime (948672463).

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, 335119 + ... + 337937.

It is an arithmetic number, because the mean of its divisors is an integer number (18358200).

Almost surely, 2^948672432 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 948672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468656000).

948672432 is an abundant number, since it is smaller than the sum of its proper divisors (1988639568).

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

948672432 is a wasteful number, since it uses less digits than its factorization.

948672432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2884 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 948672432 is about 30800.5264890066. The cubic root of 948672432 is about 982.5894423555.

It can be divided in two parts, 9486 and 72432, that added together give a palindrome (81918).

The spelling of 948672432 in words is "nine hundred forty-eight million, six hundred seventy-two thousand, four hundred thirty-two".