968585124 has 96 divisors (see below), whose sum is σ = 2488340736. Its totient is φ = 291432960.

The previous prime is 968585087. The next prime is 968585129. The reversal of 968585124 is 421585869.

It is not an unprimeable number, because it can be changed into a prime (968585129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738654 + ... + 1739210.

It is an arithmetic number, because the mean of its divisors is an integer number (25920216).

Almost surely, 2^968585124 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 968585124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244170368).

968585124 is an abundant number, since it is smaller than the sum of its proper divisors (1519755612).

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

968585124 is a wasteful number, since it uses less digits than its factorization.

968585124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 968585124 is about 31122.1002504651. The cubic root of 968585124 is about 989.4167649267.

The spelling of 968585124 in words is "nine hundred sixty-eight million, five hundred eighty-five thousand, one hundred twenty-four".