83348832 has 96 divisors (see below), whose sum is σ = 258177024. Its totient is φ = 23040000.

The previous prime is 83348821. The next prime is 83348851. The reversal of 83348832 is 23884338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18832 + ... + 22832.

It is an arithmetic number, because the mean of its divisors is an integer number (2689344).

Almost surely, 2^83348832 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 83348832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129088512).

83348832 is an abundant number, since it is smaller than the sum of its proper divisors (174828192).

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

83348832 is a wasteful number, since it uses less digits than its factorization.

83348832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 83348832 is about 9129.5581492206. The cubic root of 83348832 is about 436.8173093544.

The spelling of 83348832 in words is "eighty-three million, three hundred forty-eight thousand, eight hundred thirty-two".