968704080 has 80 divisors (see below), whose sum is σ = 3034014144. Its totient is φ = 255651840.

The previous prime is 968704031. The next prime is 968704091. The reversal of 968704080 is 80407869.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2475 + ... + 44085.

Almost surely, 2^968704080 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 968704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517007072).

968704080 is an abundant number, since it is smaller than the sum of its proper divisors (2065310064).

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

968704080 is a wasteful number, since it uses less digits than its factorization.

968704080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41724 (or 41718 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 968704080 is about 31124.0113095983. The cubic root of 968704080 is about 989.4572680756.

The spelling of 968704080 in words is "nine hundred sixty-eight million, seven hundred four thousand, eighty".