968285000 has 80 divisors (see below), whose sum is σ = 2342250240. Its totient is φ = 374760000.

The previous prime is 968284951. The next prime is 968285033. The reversal of 968285000 is 582869.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151877 + ... + 158123.

It is an arithmetic number, because the mean of its divisors is an integer number (29278128).

Almost surely, 2^968285000 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 968285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171125120).

968285000 is an abundant number, since it is smaller than the sum of its proper divisors (1373965240).

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

968285000 is a wasteful number, since it uses less digits than its factorization.

968285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 968285000 is about 31117.2781586051. The cubic root of 968285000 is about 989.3145614185.

The spelling of 968285000 in words is "nine hundred sixty-eight million, two hundred eighty-five thousand".