616120200 has 144 divisors (see below), whose sum is σ = 2090240100. Its totient is φ = 162624000.

The previous prime is 616120181. The next prime is 616120207. The reversal of 616120200 is 2021616.

It is a happy number.

616120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 552344004 + 63776196 = 23502^2 + 7986^2 .

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

It is not an unprimeable number, because it can be changed into a prime (616120207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180106 + ... + 183494.

Almost surely, 2^616120200 is an apocalyptic number.

616120200 is a gapful number since it is divisible by the number (60) 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 616120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045120050).

616120200 is an abundant number, since it is smaller than the sum of its proper divisors (1474119900).

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

616120200 is a wasteful number, since it uses less digits than its factorization.

616120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 616120200 is about 24821.7686718735. The cubic root of 616120200 is about 850.9195124289.

Adding to 616120200 its reverse (2021616), we get a palindrome (618141816).

The spelling of 616120200 in words is "six hundred sixteen million, one hundred twenty thousand, two hundred".