965912640 has 448 divisors, whose sum is σ = 3897538560. Its totient is φ = 196853760.

The previous prime is 965912627. The next prime is 965912641. The reversal of 965912640 is 46219569.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×965912640² = 1865974456223539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 965912592 and 965912601.

It is not an unprimeable number, because it can be changed into a prime (965912641) 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 63 ways as a sum of consecutive naturals, for example, 5396071 + ... + 5396249.

Almost surely, 2^965912640 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 965912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948769280).

965912640 is an abundant number, since it is smaller than the sum of its proper divisors (2931625920).

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

965912640 is a wasteful number, since it uses less digits than its factorization.

965912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 965912640 is about 31079.1351231015. The cubic root of 965912640 is about 988.5059394111.

The spelling of 965912640 in words is "nine hundred sixty-five million, nine hundred twelve thousand, six hundred forty".