616633416 has 192 divisors, whose sum is σ = 2008406400. Its totient is φ = 167215104.

The previous prime is 616633411. The next prime is 616633417. The reversal of 616633416 is 614336616.

616633416 is a `hidden beast` number, since 6 + 1 + 6 + 633 + 4 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (616633411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801480 + ... + 802248.

It is an arithmetic number, because the mean of its divisors is an integer number (10460450).

Almost surely, 2^616633416 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 616633416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004203200).

616633416 is an abundant number, since it is smaller than the sum of its proper divisors (1391772984).

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

616633416 is a wasteful number, since it uses less digits than its factorization.

616633416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 861 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 616633416 is about 24832.1045423057. The cubic root of 616633416 is about 851.1557132594.

The spelling of 616633416 in words is "six hundred sixteen million, six hundred thirty-three thousand, four hundred sixteen".