965580 has 144 divisors (see below), whose sum is σ = 3575040. Its totient is φ = 190080.

The previous prime is 965567. The next prime is 965603. The reversal of 965580 is 85569.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 50811 + ... + 50829.

2⁹⁶⁵⁵⁸⁰ 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 965580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787520).

965580 is an abundant number, since it is smaller than the sum of its proper divisors (2609460).

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

965580 is a wasteful number, since it uses less digits than its factorization.

965580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 965580 is about 982.6393031016. The cubic root of 965580 is about 98.8392452830.

The spelling of 965580 in words is "nine hundred sixty-five thousand, five hundred eighty".