968727360 has 224 divisors, whose sum is σ = 3168652032. Its totient is φ = 250675200.

The previous prime is 968727343. The next prime is 968727367. The reversal of 968727360 is 63727869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968727367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9405069 + ... + 9405171.

It is an arithmetic number, because the mean of its divisors is an integer number (14145768).

Almost surely, 2^968727360 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 968727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584326016).

968727360 is an abundant number, since it is smaller than the sum of its proper divisors (2199924672).

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

968727360 is a wasteful number, since it uses less digits than its factorization.

968727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 968727360 is about 31124.3852951347. The cubic root of 968727360 is about 989.4651942597.

The spelling of 968727360 in words is "nine hundred sixty-eight million, seven hundred twenty-seven thousand, three hundred sixty".