968388 has 48 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 294400.

The previous prime is 968381. The next prime is 968389. The reversal of 968388 is 883869.

968388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968388.

It is not an unprimeable number, because it can be changed into a prime (968381) by changing a digit.

968388 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, 9538 + ... + 9638.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2⁹⁶⁸³⁸⁸ 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 968388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792).

968388 is an abundant number, since it is smaller than the sum of its proper divisors (1499196).

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

968388 is a wasteful number, since it uses less digits than its factorization.

968388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 968388 is about 984.0670708849. The cubic root of 968388 is about 98.9349639172.

The spelling of 968388 in words is "nine hundred sixty-eight thousand, three hundred eighty-eight".