968873760 has 144 divisors (see below), whose sum is σ = 3420438840. Its totient is φ = 249446400.

The previous prime is 968873699. The next prime is 968873791. The reversal of 968873760 is 67378869.

It can be written as a sum of positive squares in 4 ways, for example, as 934158096 + 34715664 = 30564^2 + 5892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 968873697 and 968873706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30160 + ... + 53360.

Almost surely, 2^968873760 is an apocalyptic number.

968873760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710219420).

968873760 is an abundant number, since it is smaller than the sum of its proper divisors (2451565080).

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

968873760 is a wasteful number, since it uses less digits than its factorization.

968873760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23251 (or 23240 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 968873760 is about 31126.7370599618. The cubic root of 968873760 is about 989.5150364251.

The spelling of 968873760 in words is "nine hundred sixty-eight million, eight hundred seventy-three thousand, seven hundred sixty".