969735680 has 80 divisors (see below), whose sum is σ = 2447588880. Its totient is φ = 367460352.

The previous prime is 969735673. The next prime is 969735703. The reversal of 969735680 is 86537969.

969735680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38672 + ... + 58608.

It is an arithmetic number, because the mean of its divisors is an integer number (30594861).

Almost surely, 2^969735680 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 969735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223794440).

969735680 is an abundant number, since it is smaller than the sum of its proper divisors (1477853200).

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

969735680 is a wasteful number, since it uses less digits than its factorization.

969735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19979 (or 19963 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The square root of 969735680 is about 31140.5793138150. The cubic root of 969735680 is about 989.8083770195.

The spelling of 969735680 in words is "nine hundred sixty-nine million, seven hundred thirty-five thousand, six hundred eighty".