83324832 has 48 divisors (see below), whose sum is σ = 220762080. Its totient is φ = 27516672.

The previous prime is 83324821. The next prime is 83324863. The reversal of 83324832 is 23842338.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 83324793 and 83324802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6483 + ... + 14445.

It is an arithmetic number, because the mean of its divisors is an integer number (4599210).

Almost surely, 2^83324832 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 83324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110381040).

83324832 is an abundant number, since it is smaller than the sum of its proper divisors (137437248).

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

83324832 is a wasteful number, since it uses less digits than its factorization.

83324832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8077 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 83324832 is about 9128.2436426730. The cubic root of 83324832 is about 436.7753786656.

The spelling of 83324832 in words is "eighty-three million, three hundred twenty-four thousand, eight hundred thirty-two".