617016 has 32 divisors (see below), whose sum is σ = 1578240. Its totient is φ = 200928.

The previous prime is 617011. The next prime is 617027. The reversal of 617016 is 610716.

It is a junction number, because it is equal to n+sod(n) for n = 616983 and 617001.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 617016.

It is not an unprimeable number, because it can be changed into a prime (617011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (49320).

2⁶¹⁷⁰¹⁶ 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 617016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789120).

617016 is an abundant number, since it is smaller than the sum of its proper divisors (961224).

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

617016 is a wasteful number, since it uses less digits than its factorization.

617016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 617016 is about 785.5036600806. The cubic root of 617016 is about 85.1331707200.

The spelling of 617016 in words is "six hundred seventeen thousand, sixteen".