616505616 has 240 divisors, whose sum is σ = 1933626240. Its totient is φ = 182476800.

The previous prime is 616505579. The next prime is 616505621.

616505616 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6103966 + ... + 6104066.

It is an arithmetic number, because the mean of its divisors is an integer number (8056776).

Almost surely, 2^616505616 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 616505616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966813120).

616505616 is an abundant number, since it is smaller than the sum of its proper divisors (1317120624).

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

616505616 is a wasteful number, since it uses less digits than its factorization.

616505616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 616505616 is about 24829.5311272686. The cubic root of 616505616 is about 851.0969072692.

The spelling of 616505616 in words is "six hundred sixteen million, five hundred five thousand, six hundred sixteen".