968953856 has 104 divisors (see below), whose sum is σ = 2157705984. Its totient is φ = 432046080.

The previous prime is 968953847. The next prime is 968953859. The reversal of 968953856 is 658359869.

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 968953795 and 968953804.

It is not an unprimeable number, because it can be changed into a prime (968953859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1650395 + ... + 1650981.

Almost surely, 2^968953856 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 968953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078852992).

968953856 is an abundant number, since it is smaller than the sum of its proper divisors (1188752128).

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

968953856 is a wasteful number, since it uses less digits than its factorization.

968953856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 633 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 59.

The square root of 968953856 is about 31128.0236442984. The cubic root of 968953856 is about 989.5423031396.

The spelling of 968953856 in words is "nine hundred sixty-eight million, nine hundred fifty-three thousand, eight hundred fifty-six".