968616 has 48 divisors (see below), whose sum is σ = 2864160. Its totient is φ = 293280.

The previous prime is 968593. The next prime is 968641. The reversal of 968616 is 616869.

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 an Ulam number.

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 11 ways as a sum of consecutive naturals, for example, 181 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

2⁹⁶⁸⁶¹⁶ 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 968616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080).

968616 is an abundant number, since it is smaller than the sum of its proper divisors (1895544).

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

968616 is a wasteful number, since it uses less digits than its factorization.

968616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1239 counting only the distinct ones).

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

The square root of 968616 is about 984.1829098293. The cubic root of 968616 is about 98.9427278168.

The spelling of 968616 in words is "nine hundred sixty-eight thousand, six hundred sixteen".