832148968 has 96 divisors (see below), whose sum is σ = 1905897600. Its totient is φ = 339158400.

The previous prime is 832148957. The next prime is 832148971. The reversal of 832148968 is 869841238.

832148968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806613 + ... + 807643.

It is an arithmetic number, because the mean of its divisors is an integer number (19853100).

Almost surely, 2^832148968 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 832148968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952948800).

832148968 is an abundant number, since it is smaller than the sum of its proper divisors (1073748632).

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

832148968 is a wasteful number, since it uses less digits than its factorization.

832148968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 832148968 is about 28846.9923562232. The cubic root of 832148968 is about 940.5900053323.

The spelling of 832148968 in words is "eight hundred thirty-two million, one hundred forty-eight thousand, nine hundred sixty-eight".