969120 has 72 divisors (see below), whose sum is σ = 3312036. Its totient is φ = 258048.

The previous prime is 969113. The next prime is 969131. The reversal of 969120 is 21969.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 24336 = 972^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 1776.

2⁹⁶⁹¹²⁰ is an apocalyptic number.

969120 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 969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656018).

969120 is an abundant number, since it is smaller than the sum of its proper divisors (2342916).

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

969120 is a wasteful number, since it uses less digits than its factorization.

969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 969120 is about 984.4389264957. The cubic root of 969120 is about 98.9598857990.

It can be divided in two parts, 969 and 120, that added together give a square (1089 = 33²).

The spelling of 969120 in words is "nine hundred sixty-nine thousand, one hundred twenty".