983232000 has 320 divisors, whose sum is σ = 3638606400. Its totient is φ = 261734400.

The previous prime is 983231987. The next prime is 983232011. The reversal of 983232000 is 232389.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 1727716 + ... + 1728284.

It is an arithmetic number, because the mean of its divisors is an integer number (11370645).

Almost surely, 2^983232000 is an apocalyptic number.

983232000 is a gapful number since it is divisible by the number (90) 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 983232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819303200).

983232000 is an abundant number, since it is smaller than the sum of its proper divisors (2655374400).

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

983232000 is an equidigital number, since it uses as much as digits as its factorization.

983232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 983232000 is about 31356.5304203128. The cubic root of 983232000 is about 994.3791317018.

Adding to 983232000 its reverse (232389), we get a palindrome (983464389).

The spelling of 983232000 in words is "nine hundred eighty-three million, two hundred thirty-two thousand".