968359648 has 96 divisors (see below), whose sum is σ = 2088011520. Its totient is φ = 440832000.

The previous prime is 968359583. The next prime is 968359657. The reversal of 968359648 is 846953869.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a house number.

It is a junction number, because it is equal to n+sod(n) for n = 968359592 and 968359601.

It is a congruent 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, 1179078 + ... + 1179898.

It is an arithmetic number, because the mean of its divisors is an integer number (21750120).

Almost surely, 2^968359648 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 968359648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044005760).

968359648 is an abundant number, since it is smaller than the sum of its proper divisors (1119651872).

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

968359648 is a wasteful number, since it uses less digits than its factorization.

968359648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 58.

The square root of 968359648 is about 31118.4775977232. The cubic root of 968359648 is about 989.3399838425.

The spelling of 968359648 in words is "nine hundred sixty-eight million, three hundred fifty-nine thousand, six hundred forty-eight".