616823424 has 192 divisors, whose sum is σ = 2104415040. Its totient is φ = 176173056.

The previous prime is 616823419. The next prime is 616823437. The reversal of 616823424 is 424328616.

616823424 is a `hidden beast` number, since 616 + 8 + 2 + 34 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×616823424² = 760942272790167552, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 216312 + ... + 219144.

It is an arithmetic number, because the mean of its divisors is an integer number (10960495).

Almost surely, 2^616823424 is an apocalyptic number.

616823424 is a gapful number since it is divisible by the number (64) 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 616823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052207520).

616823424 is an abundant number, since it is smaller than the sum of its proper divisors (1487591616).

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

616823424 is an equidigital number, since it uses as much as digits as its factorization.

616823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2845 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 616823424 is about 24835.9301013673. The cubic root of 616823424 is about 851.2431286682.

It can be divided in two parts, 6168 and 23424, that added together give a palindrome (29592).

The spelling of 616823424 in words is "six hundred sixteen million, eight hundred twenty-three thousand, four hundred twenty-four".