616331408 has 180 divisors, whose sum is σ = 1565173260. Its totient is φ = 234178560.

The previous prime is 616331383. The next prime is 616331467. The reversal of 616331408 is 804133616.

It can be written as a sum of positive squares in 2 ways, for example, as 227768464 + 388562944 = 15092^2 + 19712^2 .

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 35 ways as a sum of consecutive naturals, for example, 6925028 + ... + 6925116.

It is an arithmetic number, because the mean of its divisors is an integer number (8695407).

Almost surely, 2^616331408 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 616331408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782586630).

616331408 is an abundant number, since it is smaller than the sum of its proper divisors (948841852).

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

616331408 is a wasteful number, since it uses less digits than its factorization.

616331408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 616331408 is about 24826.0227986683. The cubic root of 616331408 is about 851.0167339754.

The spelling of 616331408 in words is "six hundred sixteen million, three hundred thirty-one thousand, four hundred eight".