616906368 has 320 divisors, whose sum is σ = 2073456000. Its totient is φ = 180652032.

The previous prime is 616906343. The next prime is 616906373. The reversal of 616906368 is 863609616.

616906368 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 0 + 636 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3099933 + ... + 3100131.

It is an arithmetic number, because the mean of its divisors is an integer number (6479550).

Almost surely, 2^616906368 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 616906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036728000).

616906368 is an abundant number, since it is smaller than the sum of its proper divisors (1456549632).

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

616906368 is a wasteful number, since it uses less digits than its factorization.

616906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 616906368 is about 24837.5998840468. The cubic root of 616906368 is about 851.2812823995.

The spelling of 616906368 in words is "six hundred sixteen million, nine hundred six thousand, three hundred sixty-eight".