968016 has 80 divisors (see below), whose sum is σ = 2968064. Its totient is φ = 266112.

The previous prime is 968003. The next prime is 968017. The reversal of 968016 is 610869.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968017) by changing a digit.

968016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14415 + ... + 14481.

2⁹⁶⁸⁰¹⁶ 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 968016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484032).

968016 is an abundant number, since it is smaller than the sum of its proper divisors (2000048).

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

968016 is a wasteful number, since it uses less digits than its factorization.

968016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 968016 is about 983.8780412226. The cubic root of 968016 is about 98.9222938854.

The spelling of 968016 in words is "nine hundred sixty-eight thousand, sixteen".