965970320 has 200 divisors, whose sum is σ = 2700791424. Its totient is φ = 321113856.

The previous prime is 965970301. The next prime is 965970331. The reversal of 965970320 is 23079569.

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 39 ways as a sum of consecutive naturals, for example, 9027707 + ... + 9027813.

Almost surely, 2^965970320 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 965970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350395712).

965970320 is an abundant number, since it is smaller than the sum of its proper divisors (1734821104).

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

965970320 is a wasteful number, since it uses less digits than its factorization.

965970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 965970320 is about 31080.0630629991. The cubic root of 965970320 is about 988.5256154098.

The spelling of 965970320 in words is "nine hundred sixty-five million, nine hundred seventy thousand, three hundred twenty".