617683968 has 220 divisors, whose sum is σ = 2015181432. Its totient is φ = 186900480.

The previous prime is 617683961. The next prime is 617683981. The reversal of 617683968 is 869386716.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617683961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912046 + ... + 912722.

Almost surely, 2^617683968 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 617683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007590716).

617683968 is an abundant number, since it is smaller than the sum of its proper divisors (1397497464).

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

617683968 is a wasteful number, since it uses less digits than its factorization.

617683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 693 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 617683968 is about 24853.2486407713. The cubic root of 617683968 is about 851.6388074232.

The spelling of 617683968 in words is "six hundred seventeen million, six hundred eighty-three thousand, nine hundred sixty-eight".