965904540 has 96 divisors (see below), whose sum is σ = 2748997440. Its totient is φ = 253372416.

The previous prime is 965904523. The next prime is 965904547. The reversal of 965904540 is 45409569.

It is a happy number.

It is a super-2 number, since 2×965904540² = 1865943160785223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 965904492 and 965904501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965904547) 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 31 ways as a sum of consecutive naturals, for example, 1478854 + ... + 1479506.

It is an arithmetic number, because the mean of its divisors is an integer number (28635390).

Almost surely, 2^965904540 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 965904540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374498720).

965904540 is an abundant number, since it is smaller than the sum of its proper divisors (1783092900).

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

965904540 is a wasteful number, since it uses less digits than its factorization.

965904540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 965904540 is about 31079.0048103217. The cubic root of 965904540 is about 988.5031762487.

The spelling of 965904540 in words is "nine hundred sixty-five million, nine hundred four thousand, five hundred forty".