968730 has 48 divisors (see below), whose sum is σ = 2708640. Its totient is φ = 221088.

The previous prime is 968729. The next prime is 968731. The reversal of 968730 is 37869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (968729) and next prime (968731).

It is a junction number, because it is equal to n+sod(n) for n = 968691 and 968700.

It is not an unprimeable number, because it can be changed into a prime (968731) 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, 1141 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (56430).

2⁹⁶⁸⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354320).

968730 is an abundant number, since it is smaller than the sum of its proper divisors (1739910).

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

968730 is a wasteful number, since it uses less digits than its factorization.

968730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 968730 is about 984.2408241889. The cubic root of 968730 is about 98.9466093097.

The spelling of 968730 in words is "nine hundred sixty-eight thousand, seven hundred thirty".