83424132 has 72 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 25158720.

The previous prime is 83424127. The next prime is 83424169. The reversal of 83424132 is 23142438.

It is a junction number, because it is equal to n+sod(n) for n = 83424096 and 83424105.

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, 115669 + ... + 116387.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^83424132 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 83424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

83424132 is an abundant number, since it is smaller than the sum of its proper divisors (147730428).

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

83424132 is a wasteful number, since it uses less digits than its factorization.

83424132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 83424132 is about 9133.6811855900. The cubic root of 83424132 is about 436.9488146687.

The spelling of 83424132 in words is "eighty-three million, four hundred twenty-four thousand, one hundred thirty-two".