965820240 has 320 divisors, whose sum is σ = 4148305920. Its totient is φ = 200655360.

The previous prime is 965820211. The next prime is 965820253. The reversal of 965820240 is 42028569.

It is a happy number.

965820240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 965820195 and 965820204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163417 + ... + 169223.

It is an arithmetic number, because the mean of its divisors is an integer number (12963456).

Almost surely, 2^965820240 is an apocalyptic number.

965820240 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 965820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074152960).

965820240 is an abundant number, since it is smaller than the sum of its proper divisors (3182485680).

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

965820240 is a wasteful number, since it uses less digits than its factorization.

965820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 965820240 is about 31077.6485596964. The cubic root of 965820240 is about 988.4744179747.

The spelling of 965820240 in words is "nine hundred sixty-five million, eight hundred twenty thousand, two hundred forty".