961920 has 96 divisors (see below), whose sum is σ = 3341520. Its totient is φ = 254976.

The previous prime is 961879. The next prime is 961927. The reversal of 961920 is 29169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961920.

It is not an unprimeable number, because it can be changed into a prime (961927) by changing a digit.

961920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5677 + ... + 5843.

2⁹⁶¹⁹²⁰ is an apocalyptic number.

961920 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 961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760).

961920 is an abundant number, since it is smaller than the sum of its proper divisors (2379600).

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

961920 is a wasteful number, since it uses less digits than its factorization.

961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

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

The square root of 961920 is about 980.7752036017. The cubic root of 961920 is about 98.7142048334.

It can be divided in two parts, 961 and 920, that added together give a palindrome (1881).

The spelling of 961920 in words is "nine hundred sixty-one thousand, nine hundred twenty".