965968410 has 96 divisors (see below), whose sum is σ = 2560009536. Its totient is φ = 233094400.

The previous prime is 965968403. The next prime is 965968427. The reversal of 965968410 is 14869569.

It is a self number, because there is not a number n which added to its sum of digits gives 965968410.

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 47 ways as a sum of consecutive naturals, for example, 1019557 + ... + 1020503.

It is an arithmetic number, because the mean of its divisors is an integer number (26666766).

Almost surely, 2^965968410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965968410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280004768).

965968410 is an abundant number, since it is smaller than the sum of its proper divisors (1594041126).

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

965968410 is a wasteful number, since it uses less digits than its factorization.

965968410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 965968410 is about 31080.0323358905. The cubic root of 965968410 is about 988.5249638767.

The spelling of 965968410 in words is "nine hundred sixty-five million, nine hundred sixty-eight thousand, four hundred ten".