83532384 has 240 divisors, whose sum is σ = 275769648. Its totient is φ = 24634368.

The previous prime is 83532349. The next prime is 83532403. The reversal of 83532384 is 48323538.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1246719 + ... + 1246785.

Almost surely, 2^83532384 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 83532384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884824).

83532384 is an abundant number, since it is smaller than the sum of its proper divisors (192237264).

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

83532384 is a wasteful number, since it uses less digits than its factorization.

83532384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 83532384 is about 9139.6052431164. The cubic root of 83532384 is about 437.1377293846.

The spelling of 83532384 in words is "eighty-three million, five hundred thirty-two thousand, three hundred eighty-four".