965020640 has 192 divisors, whose sum is σ = 2586608640. Its totient is φ = 338042880.

The previous prime is 965020619. The next prime is 965020673. The reversal of 965020640 is 46020569.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 965020597 and 965020606.

It is a congruent number.

It is an unprimeable number.

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, 3669149 + ... + 3669411.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 2^965020640 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 965020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293304320).

965020640 is an abundant number, since it is smaller than the sum of its proper divisors (1621588000).

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

965020640 is a wasteful number, since it uses less digits than its factorization.

965020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 965020640 is about 31064.7813447962. The cubic root of 965020640 is about 988.2015575496.

The spelling of 965020640 in words is "nine hundred sixty-five million, twenty thousand, six hundred forty".