616112000 has 128 divisors (see below), whose sum is σ = 1750956480. Its totient is φ = 211200000.

The previous prime is 616111999. The next prime is 616112027. The reversal of 616112000 is 211616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 616112000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 109250 + ... + 114750.

Almost surely, 2^616112000 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 616112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875478240).

616112000 is an abundant number, since it is smaller than the sum of its proper divisors (1134844480).

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

616112000 is an equidigital number, since it uses as much as digits as its factorization.

616112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 616112000 is about 24821.6034937310. The cubic root of 616112000 is about 850.9157374236.

Adding to 616112000 its reverse (211616), we get a palindrome (616323616).

The spelling of 616112000 in words is "six hundred sixteen million, one hundred twelve thousand".