965790 has 96 divisors (see below), whose sum is σ = 3036960. Its totient is φ = 217728.

The previous prime is 965779. The next prime is 965791. The reversal of 965790 is 97569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965791) by changing a digit.

965790 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 13194 + ... + 13266.

It is an arithmetic number, because the mean of its divisors is an integer number (31635).

2⁹⁶⁵⁷⁹⁰ is an apocalyptic number.

965790 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 965790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518480).

965790 is an abundant number, since it is smaller than the sum of its proper divisors (2071170).

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

965790 is a wasteful number, since it uses less digits than its factorization.

965790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 965790 is about 982.7461523710. The cubic root of 965790 is about 98.8464101432.

It can be divided in two parts, 96 and 5790, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 965790 in words is "nine hundred sixty-five thousand, seven hundred ninety".