616968 has 96 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 172800.

The previous prime is 616961. The next prime is 616991. The reversal of 616968 is 869616.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (616961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15028 + ... + 15068.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2⁶¹⁶⁹⁶⁸ 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 616968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

616968 is an abundant number, since it is smaller than the sum of its proper divisors (1348632).

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

616968 is a wasteful number, since it uses less digits than its factorization.

616968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 616968 is about 785.4731058413. The cubic root of 616968 is about 85.1309630527.

The spelling of 616968 in words is "six hundred sixteen thousand, nine hundred sixty-eight".