968352 has 96 divisors (see below), whose sum is σ = 3193344. Its totient is φ = 249600.

The previous prime is 968333. The next prime is 968353. The reversal of 968352 is 253869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (12960) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (968353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7327 + ... + 7457.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁹⁶⁸³⁵² 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 968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672).

968352 is an abundant number, since it is smaller than the sum of its proper divisors (2224992).

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

968352 is a wasteful number, since it uses less digits than its factorization.

968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 968352 is about 984.0487792788. The cubic root of 968352 is about 98.9337379269.

Adding to 968352 its reverse (253869), we get a palindrome (1222221).

It can be divided in two parts, 96 and 8352, that added together give a palindrome (8448).

The spelling of 968352 in words is "nine hundred sixty-eight thousand, three hundred fifty-two".