965118000 has 320 divisors, whose sum is σ = 3881180160. Its totient is φ = 200448000.

The previous prime is 965117987. The next prime is 965118017. The reversal of 965118000 is 811569.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 460956 + ... + 463044.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2^965118000 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 965118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940590080).

965118000 is an abundant number, since it is smaller than the sum of its proper divisors (2916062160).

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

965118000 is a wasteful number, since it uses less digits than its factorization.

965118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 965118000 is about 31066.3483531618. The cubic root of 965118000 is about 988.2347893321.

Adding to 965118000 its reverse (811569), we get a palindrome (965929569).

The spelling of 965118000 in words is "nine hundred sixty-five million, one hundred eighteen thousand".