617617968 has 80 divisors (see below), whose sum is σ = 1748566656. Its totient is φ = 186296320.

The previous prime is 617617967. The next prime is 617617969. The reversal of 617617968 is 869716716.

It is an interprime number because it is at equal distance from previous prime (617617967) and next prime (617617969).

It is a self number, because there is not a number n which added to its sum of digits gives 617617968.

It is not an unprimeable number, because it can be changed into a prime (617617967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117280 + ... + 122432.

Almost surely, 2^617617968 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 617617968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874283328).

617617968 is an abundant number, since it is smaller than the sum of its proper divisors (1130948688).

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

617617968 is a wasteful number, since it uses less digits than its factorization.

617617968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5396 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 617617968 is about 24851.9208110762. The cubic root of 617617968 is about 851.6084735921.

The spelling of 617617968 in words is "six hundred seventeen million, six hundred seventeen thousand, nine hundred sixty-eight".