968959584 has 108 divisors (see below), whose sum is σ = 2865651516. Its totient is φ = 322071552.

The previous prime is 968959547. The next prime is 968959603. The reversal of 968959584 is 485959869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2744752 + ... + 2745104.

Almost surely, 2^968959584 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 968959584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432825758).

968959584 is an abundant number, since it is smaller than the sum of its proper divisors (1896691932).

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

968959584 is an frugal number, since it uses more digits than its factorization.

968959584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 358 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 968959584 is about 31128.1156512886. The cubic root of 968959584 is about 989.5442530388.

The spelling of 968959584 in words is "nine hundred sixty-eight million, nine hundred fifty-nine thousand, five hundred eighty-four".