968353584 has 80 divisors (see below), whose sum is σ = 2733575040. Its totient is φ = 292948480.

The previous prime is 968353579. The next prime is 968353597. The reversal of 968353584 is 485353869.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426019 + ... + 428285.

It is an arithmetic number, because the mean of its divisors is an integer number (34169688).

Almost surely, 2^968353584 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 968353584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366787520).

968353584 is an abundant number, since it is smaller than the sum of its proper divisors (1765221456).

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

968353584 is a wasteful number, since it uses less digits than its factorization.

968353584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3092 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 968353584 is about 31118.3801634982. The cubic root of 968353584 is about 989.3379187110.

The spelling of 968353584 in words is "nine hundred sixty-eight million, three hundred fifty-three thousand, five hundred eighty-four".