83830032 has 320 divisors, whose sum is σ = 299980800. Its totient is φ = 22049280.

The previous prime is 83830031. The next prime is 83830037. The reversal of 83830032 is 23003838.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 83829978 and 83830005.

It is not an unprimeable number, because it can be changed into a prime (83830031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420819 + ... + 1420877.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^83830032 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 83830032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

83830032 is an abundant number, since it is smaller than the sum of its proper divisors (216150768).

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

83830032 is a wasteful number, since it uses less digits than its factorization.

83830032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83830032 is about 9155.8741800005. The cubic root of 83830032 is about 437.6563263937.

The spelling of 83830032 in words is "eighty-three million, eight hundred thirty thousand, thirty-two".