965079360 has 448 divisors, whose sum is σ = 3958986240. Its totient is φ = 219469824.

The previous prime is 965079337. The next prime is 965079373. The reversal of 965079360 is 63970569.

It is a tau number, because it is divible by the number of its divisors (448).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898782 + ... + 4898978.

Almost surely, 2^965079360 is an apocalyptic number.

965079360 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 965079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979493120).

965079360 is an abundant number, since it is smaller than the sum of its proper divisors (2993906880).

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

965079360 is an equidigital number, since it uses as much as digits as its factorization.

965079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 965079360 is about 31065.7264521530. The cubic root of 965079360 is about 988.2216006506.

The spelling of 965079360 in words is "nine hundred sixty-five million, seventy-nine thousand, three hundred sixty".