83232000 has 324 divisors, whose sum is σ = 318146556. Its totient is φ = 20889600.

The previous prime is 83231969. The next prime is 83232013. The reversal of 83232000 is 23238.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 7750656 + 75481344 = 2784^2 + 8688^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4895992 + ... + 4896008.

Almost surely, 2^83232000 is an apocalyptic number.

83232000 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 83232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159073278).

83232000 is an abundant number, since it is smaller than the sum of its proper divisors (234914556).

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

83232000 is a wasteful number, since it uses less digits than its factorization.

83232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 83232000 is about 9123.1573481991. The cubic root of 83232000 is about 436.6131149163.

Adding to 83232000 its reverse (23238), we get a palindrome (83255238).

The spelling of 83232000 in words is "eighty-three million, two hundred thirty-two thousand".