965801040 has 80 divisors (see below), whose sum is σ = 3021532800. Its totient is φ = 255177216.

The previous prime is 965801029. The next prime is 965801041. The reversal of 965801040 is 40108569.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 965800992 and 965801010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965801041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7701 + ... + 44619.

It is an arithmetic number, because the mean of its divisors is an integer number (37769160).

Almost surely, 2^965801040 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 965801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510766400).

965801040 is an abundant number, since it is smaller than the sum of its proper divisors (2055731760).

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

965801040 is a wasteful number, since it uses less digits than its factorization.

965801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37044 (or 37038 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 965801040 is about 31077.3396544814. The cubic root of 965801040 is about 988.4678678136.

The spelling of 965801040 in words is "nine hundred sixty-five million, eight hundred one thousand, forty".