965376240 has 240 divisors, whose sum is σ = 3242363904. Its totient is φ = 237050880.

The previous prime is 965376233. The next prime is 965376241. The reversal of 965376240 is 42673569.

965376240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 965376192 and 965376201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965376241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15825810 + ... + 15825870.

Almost surely, 2^965376240 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 965376240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621181952).

965376240 is an abundant number, since it is smaller than the sum of its proper divisors (2276987664).

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

965376240 is a wasteful number, since it uses less digits than its factorization.

965376240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 965376240 is about 31070.5043409340. The cubic root of 965376240 is about 988.3229232852.

The spelling of 965376240 in words is "nine hundred sixty-five million, three hundred seventy-six thousand, two hundred forty".