83130432 has 112 divisors (see below), whose sum is σ = 274271232. Its totient is φ = 21588480.

The previous prime is 83130419. The next prime is 83130433. The reversal of 83130432 is 23403138.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (83130433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11973 + ... + 17595.

Almost surely, 2^83130432 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 83130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135616).

83130432 is an abundant number, since it is smaller than the sum of its proper divisors (191140800).

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

83130432 is a wasteful number, since it uses less digits than its factorization.

83130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 83130432 is about 9117.5891550344. The cubic root of 83130432 is about 436.4354429811.

The spelling of 83130432 in words is "eighty-three million, one hundred thirty thousand, four hundred thirty-two".