965520 has 100 divisors (see below), whose sum is σ = 3375900. Its totient is φ = 255744.

The previous prime is 965519. The next prime is 965533. The reversal of 965520 is 25569.

965520 is a `hidden beast` number, since 9 + 655 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 746496 = 468^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6406 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (33759).

2⁹⁶⁵⁵²⁰ is an apocalyptic number.

965520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687950).

965520 is an abundant number, since it is smaller than the sum of its proper divisors (2410380).

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

965520 is a wasteful number, since it uses less digits than its factorization.

965520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 965520 is about 982.6087726048. The cubic root of 965520 is about 98.8371979893.

It can be divided in two parts, 965 and 520, that added together give a triangular number (1485 = T₅₄).

The spelling of 965520 in words is "nine hundred sixty-five thousand, five hundred twenty".