965037120 has 112 divisors (see below), whose sum is σ = 3074261568. Its totient is φ = 256481280.

The previous prime is 965037103. The next prime is 965037121. The reversal of 965037120 is 21730569.

It is not an unprimeable number, because it can be changed into a prime (965037121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316242 + ... + 319278.

It is an arithmetic number, because the mean of its divisors is an integer number (27448764).

Almost surely, 2^965037120 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 965037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537130784).

965037120 is an abundant number, since it is smaller than the sum of its proper divisors (2109224448).

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

965037120 is a wasteful number, since it uses less digits than its factorization.

965037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 965037120 is about 31065.0465958125. The cubic root of 965037120 is about 988.2071828071.

Adding to 965037120 its reverse (21730569), we get a palindrome (986767689).

The spelling of 965037120 in words is "nine hundred sixty-five million, thirty-seven thousand, one hundred twenty".