616832 has 32 divisors (see below), whose sum is σ = 1264800. Its totient is φ = 299520.

The previous prime is 616829. The next prime is 616841. The reversal of 616832 is 238616.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 616832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7769 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (39525).

2⁶¹⁶⁸³² 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 616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632400).

616832 is an abundant number, since it is smaller than the sum of its proper divisors (647968).

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

616832 is an equidigital number, since it uses as much as digits as its factorization.

616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 616832 is about 785.3865290416. The cubic root of 616832 is about 85.1247073734.

The spelling of 616832 in words is "six hundred sixteen thousand, eight hundred thirty-two".