968640000 has 200 divisors, whose sum is σ = 3227810520. Its totient is φ = 258048000.

The previous prime is 968639999. The next prime is 968640011. The reversal of 968640000 is 46869.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959496 + ... + 960504.

Almost surely, 2^968640000 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 968640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613905260).

968640000 is an abundant number, since it is smaller than the sum of its proper divisors (2259170520).

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

968640000 is an equidigital number, since it uses as much as digits as its factorization.

968640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 968640000 is about 31122.9818622831. The cubic root of 968640000 is about 989.4354499851.

Adding to 968640000 its reverse (46869), we get a palindrome (968686869).

It can be divided in two parts, 96 and 8640000, that multiplied together give a square (829440000 = 28800²).

The spelling of 968640000 in words is "nine hundred sixty-eight million, six hundred forty thousand".