965208960 has 320 divisors, whose sum is σ = 3535242480. Its totient is φ = 250822656.

The previous prime is 965208947. The next prime is 965208971. The reversal of 965208960 is 69802569.

965208960 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2228904 + ... + 2229336.

Almost surely, 2^965208960 is an apocalyptic number.

965208960 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 965208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767621240).

965208960 is an abundant number, since it is smaller than the sum of its proper divisors (2570033520).

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

965208960 is a wasteful number, since it uses less digits than its factorization.

965208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 965208960 is about 31067.8122821675. The cubic root of 965208960 is about 988.2658345904.

The spelling of 965208960 in words is "nine hundred sixty-five million, two hundred eight thousand, nine hundred sixty".