968841000 has 256 divisors, whose sum is σ = 3407788800. Its totient is φ = 257774400.

The previous prime is 968840993. The next prime is 968841031. The reversal of 968841000 is 148869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186779 + ... + 2187221.

It is an arithmetic number, because the mean of its divisors is an integer number (13311675).

Almost surely, 2^968841000 is an apocalyptic number.

968841000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703894400).

968841000 is an abundant number, since it is smaller than the sum of its proper divisors (2438947800).

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

968841000 is an equidigital number, since it uses as much as digits as its factorization.

968841000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 968841000 is about 31126.2108198219. The cubic root of 968841000 is about 989.5038836553.

Adding to 968841000 its reverse (148869), we get a palindrome (968989869).

The spelling of 968841000 in words is "nine hundred sixty-eight million, eight hundred forty-one thousand".