968130 has 48 divisors (see below), whose sum is σ = 2605824. Its totient is φ = 249120.

The previous prime is 968117. The next prime is 968137. The reversal of 968130 is 31869.

968130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 968094 and 968103.

It is not an unprimeable number, because it can be changed into a prime (968137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2617 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (54288).

2⁹⁶⁸¹³⁰ is an apocalyptic number.

968130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302912).

968130 is an abundant number, since it is smaller than the sum of its proper divisors (1637694).

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

968130 is a wasteful number, since it uses less digits than its factorization.

968130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 968130 is about 983.9359735267. The cubic root of 968130 is about 98.9261769820.

Adding to 968130 its reverse (31869), we get a palindrome (999999).

The spelling of 968130 in words is "nine hundred sixty-eight thousand, one hundred thirty".