968192 has 40 divisors (see below), whose sum is σ = 2029632. Its totient is φ = 460800.

The previous prime is 968173. The next prime is 968197. The reversal of 968192 is 291869.

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 (968197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15842 + ... + 15902.

2⁹⁶⁸¹⁹² 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 968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014816).

968192 is an abundant number, since it is smaller than the sum of its proper divisors (1061440).

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

968192 is an equidigital number, since it uses as much as digits as its factorization.

968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 968192 is about 983.9674791374. The cubic root of 968192 is about 98.9282887135.

The spelling of 968192 in words is "nine hundred sixty-eight thousand, one hundred ninety-two".