616738122 has 144 divisors (see below), whose sum is σ = 1804690368. Its totient is φ = 147813120.

The previous prime is 616738103. The next prime is 616738127. The reversal of 616738122 is 221837616.

616738122 is a `hidden beast` number, since 616 + 7 + 38 + 1 + 2 + 2 = 666.

It is a super-2 number, since 2×616738122² = 760731822256173768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (616738127) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 232918 + ... + 235550.

It is an arithmetic number, because the mean of its divisors is an integer number (12532572).

Almost surely, 2^616738122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616738122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902345184).

616738122 is an abundant number, since it is smaller than the sum of its proper divisors (1187952246).

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

616738122 is a wasteful number, since it uses less digits than its factorization.

616738122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2669 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 616738122 is about 24834.2127316329. The cubic root of 616738122 is about 851.2038867036.

The spelling of 616738122 in words is "six hundred sixteen million, seven hundred thirty-eight thousand, one hundred twenty-two".