83832000 has 224 divisors, whose sum is σ = 316992000. Its totient is φ = 19123200.

The previous prime is 83831989. The next prime is 83832013. The reversal of 83832000 is 23838.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167751 + ... + 168249.

Almost surely, 2^83832000 is an apocalyptic number.

83832000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158496000).

83832000 is an abundant number, since it is smaller than the sum of its proper divisors (233160000).

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

83832000 is a wasteful number, since it uses less digits than its factorization.

83832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83832000 is about 9155.9816513578. The cubic root of 83832000 is about 437.6597511843.

Adding to 83832000 its reverse (23838), we get a palindrome (83855838).

The spelling of 83832000 in words is "eighty-three million, eight hundred thirty-two thousand".