969956064 has 288 divisors, whose sum is σ = 3472035840. Its totient is φ = 249523200.

The previous prime is 969956051. The next prime is 969956077. The reversal of 969956064 is 460659969.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (969956051) and next prime (969956077).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 969956064.

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, 4235502 + ... + 4235730.

It is an arithmetic number, because the mean of its divisors is an integer number (12055680).

Almost surely, 2^969956064 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 969956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736017920).

969956064 is an abundant number, since it is smaller than the sum of its proper divisors (2502079776).

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

969956064 is a wasteful number, since it uses less digits than its factorization.

969956064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 969956064 is about 31144.1176468366. The cubic root of 969956064 is about 989.8833532600.

The spelling of 969956064 in words is "nine hundred sixty-nine million, nine hundred fifty-six thousand, sixty-four".