616353408 has 256 divisors, whose sum is σ = 2052403200. Its totient is φ = 180403200.

The previous prime is 616353337. The next prime is 616353427. The reversal of 616353408 is 804353616.

616353408 is a `hidden beast` number, since 61 + 63 + 534 + 0 + 8 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1178235 + ... + 1178757.

It is an arithmetic number, because the mean of its divisors is an integer number (8017200).

Almost surely, 2^616353408 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 616353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026201600).

616353408 is an abundant number, since it is smaller than the sum of its proper divisors (1436049792).

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

616353408 is a wasteful number, since it uses less digits than its factorization.

616353408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 616353408 is about 24826.4658781712. The cubic root of 616353408 is about 851.0268595589.

The spelling of 616353408 in words is "six hundred sixteen million, three hundred fifty-three thousand, four hundred eight".