969816960 has 384 divisors, whose sum is σ = 3895257600. Its totient is φ = 217755648.

The previous prime is 969816959. The next prime is 969816977. The reversal of 969816960 is 69618969.

969816960 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 (384).

It is a junction number, because it is equal to n+sod(n) for n = 969816897 and 969816906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701261 + ... + 2701619.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2^969816960 is an apocalyptic number.

969816960 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 969816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947628800).

969816960 is an abundant number, since it is smaller than the sum of its proper divisors (2925440640).

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

969816960 is a wasteful number, since it uses less digits than its factorization.

969816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 969816960 is about 31141.8843360513. The cubic root of 969816960 is about 989.8360303890.

The spelling of 969816960 in words is "nine hundred sixty-nine million, eight hundred sixteen thousand, nine hundred sixty".