968585123 has 32 divisors (see below), whose sum is σ = 1133740800. Its totient is φ = 819145600.

The previous prime is 968585087. The next prime is 968585129. The reversal of 968585123 is 321585869.

It is not a de Polignac number, because 968585123 - 2¹² = 968581027 is a prime.

It is a Duffinian number.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997028 + ... + 997998.

It is an arithmetic number, because the mean of its divisors is an integer number (35429400).

Almost surely, 2^968585123 is an apocalyptic number.

968585123 is a deficient number, since it is larger than the sum of its proper divisors (165155677).

968585123 is a wasteful number, since it uses less digits than its factorization.

968585123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123.

The product of its digits is 518400, while the sum is 47.

The square root of 968585123 is about 31122.1002343993. The cubic root of 968585123 is about 989.4167645862.

The spelling of 968585123 in words is "nine hundred sixty-eight million, five hundred eighty-five thousand, one hundred twenty-three".