968284500 has 96 divisors (see below), whose sum is σ = 2830848384. Its totient is φ = 257184000.

The previous prime is 968284477. The next prime is 968284519. The reversal of 968284500 is 5482869.

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 31 ways as a sum of consecutive naturals, for example, 423360 + ... + 425640.

It is an arithmetic number, because the mean of its divisors is an integer number (29488004).

Almost surely, 2^968284500 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 968284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415424192).

968284500 is an abundant number, since it is smaller than the sum of its proper divisors (1862563884).

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

968284500 is a wasteful number, since it uses less digits than its factorization.

968284500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 968284500 is about 31117.2701244823. The cubic root of 968284500 is about 989.3143911320.

The spelling of 968284500 in words is "nine hundred sixty-eight million, two hundred eighty-four thousand, five hundred".