968416 has 24 divisors (see below), whose sum is σ = 1945944. Its totient is φ = 474240.

The previous prime is 968389. The next prime is 968419. The reversal of 968416 is 614869.

968416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1411 + ... + 1981.

It is an arithmetic number, because the mean of its divisors is an integer number (81081).

2⁹⁶⁸⁴¹⁶ 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 968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972972).

968416 is an abundant number, since it is smaller than the sum of its proper divisors (977528).

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

968416 is a wasteful number, since it uses less digits than its factorization.

968416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 968416 is about 984.0812974546. The cubic root of 968416 is about 98.9359174442.

The spelling of 968416 in words is "nine hundred sixty-eight thousand, four hundred sixteen".