968512000 has 160 divisors (see below), whose sum is σ = 2486381040. Its totient is φ = 376012800.

The previous prime is 968511989. The next prime is 968512019. The reversal of 968512000 is 215869.

It can be written as a sum of positive squares in 8 ways, for example, as 355850496 + 612661504 = 18864^2 + 24752^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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, 2367796 + ... + 2368204.

Almost surely, 2^968512000 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 968512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243190520).

968512000 is an abundant number, since it is smaller than the sum of its proper divisors (1517869040).

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

968512000 is an equidigital number, since it uses as much as digits as its factorization.

968512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 968512000 is about 31120.9254361113. The cubic root of 968512000 is about 989.3918654004.

Adding to 968512000 its reverse (215869), we get a palindrome (968727869).

The spelling of 968512000 in words is "nine hundred sixty-eight million, five hundred twelve thousand".