617648808 has 256 divisors, whose sum is σ = 1990656000. Its totient is φ = 155637504.

The previous prime is 617648797. The next prime is 617648819. The reversal of 617648808 is 808846716.

It is an interprime number because it is at equal distance from previous prime (617648797) and next prime (617648819).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3450463 + ... + 3450641.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2^617648808 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 617648808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995328000).

617648808 is an abundant number, since it is smaller than the sum of its proper divisors (1373007192).

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

617648808 is a wasteful number, since it uses less digits than its factorization.

617648808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 617648808 is about 24852.5412785091. The cubic root of 617648808 is about 851.6226480331.

The spelling of 617648808 in words is "six hundred seventeen million, six hundred forty-eight thousand, eight hundred eight".