968361360 has 80 divisors (see below), whose sum is σ = 3018824640. Its totient is φ = 256775680.

The previous prime is 968361349. The next prime is 968361367. The reversal of 968361360 is 63163869.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (968361367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31690 + ... + 54230.

It is an arithmetic number, because the mean of its divisors is an integer number (37735308).

Almost surely, 2^968361360 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 968361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509412320).

968361360 is an abundant number, since it is smaller than the sum of its proper divisors (2050463280).

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

968361360 is a wasteful number, since it uses less digits than its factorization.

968361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22736 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 968361360 is about 31118.5051054835. The cubic root of 968361360 is about 989.3405668728.

The spelling of 968361360 in words is "nine hundred sixty-eight million, three hundred sixty-one thousand, three hundred sixty".