968016000 has 512 divisors, whose sum is σ = 3808696320. Its totient is φ = 212889600.

The previous prime is 968015981. The next prime is 968016041. The reversal of 968016000 is 610869.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14447967 + ... + 14448033.

It is an arithmetic number, because the mean of its divisors is an integer number (7438860).

Almost surely, 2^968016000 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 968016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904348160).

968016000 is an abundant number, since it is smaller than the sum of its proper divisors (2840680320).

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

968016000 is a wasteful number, since it uses less digits than its factorization.

968016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 968016000 is about 31112.9555008842. The cubic root of 968016000 is about 989.2229388538. Note that the first 3 decimals are identical.

Adding to 968016000 its reverse (610869), we get a palindrome (968626869).

The spelling of 968016000 in words is "nine hundred sixty-eight million, sixteen thousand".