968950080 has 448 divisors, whose sum is σ = 4021409280. Its totient is φ = 214990848.

The previous prime is 968950079. The next prime is 968950111. The reversal of 968950080 is 80059869.

968950080 is a `hidden beast` number, since 9 + 68 + 9 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237544 + ... + 2237976.

It is an arithmetic number, because the mean of its divisors is an integer number (8976360).

Almost surely, 2^968950080 is an apocalyptic number.

968950080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010704640).

968950080 is an abundant number, since it is smaller than the sum of its proper divisors (3052459200).

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

968950080 is a wasteful number, since it uses less digits than its factorization.

968950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 968950080 is about 31127.9629914969. The cubic root of 968950080 is about 989.5410177269.

The spelling of 968950080 in words is "nine hundred sixty-eight million, nine hundred fifty thousand, eighty".