965328896 has 120 divisors (see below), whose sum is σ = 2327767680. Its totient is φ = 391053312.

The previous prime is 965328863. The next prime is 965328899. The reversal of 965328896 is 698823569.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965328899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2178851 + ... + 2179293.

It is an arithmetic number, because the mean of its divisors is an integer number (19398064).

Almost surely, 2^965328896 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 965328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163883840).

965328896 is an abundant number, since it is smaller than the sum of its proper divisors (1362438784).

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

965328896 is an equidigital number, since it uses as much as digits as its factorization.

965328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 471 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 56.

The square root of 965328896 is about 31069.7424514591. The cubic root of 965328896 is about 988.3067665706.

The spelling of 965328896 in words is "nine hundred sixty-five million, three hundred twenty-eight thousand, eight hundred ninety-six".