965937960 has 640 divisors, whose sum is σ = 3951763200. Its totient is φ = 209018880.

The previous prime is 965937949. The next prime is 965937961. The reversal of 965937960 is 69739569.

It is a super-2 number, since 2×965937960² = 1866072285137923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 965937897 and 965937906.

It is not an unprimeable number, because it can be changed into a prime (965937961) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 13604725 + ... + 13604795.

It is an arithmetic number, because the mean of its divisors is an integer number (6174630).

Almost surely, 2^965937960 is an apocalyptic number.

965937960 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 965937960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975881600).

965937960 is an abundant number, since it is smaller than the sum of its proper divisors (2985825240).

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

965937960 is a wasteful number, since it uses less digits than its factorization.

965937960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 965937960 is about 31079.5424676748. The cubic root of 965937960 is about 988.5145767525.

The spelling of 965937960 in words is "nine hundred sixty-five million, nine hundred thirty-seven thousand, nine hundred sixty".