961824 has 48 divisors (see below), whose sum is σ = 2594592. Its totient is φ = 311808.

The previous prime is 961817. The next prime is 961841. The reversal of 961824 is 428169.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 961791 and 961800.

It is a congruent number.

It is an unprimeable number.

961824 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 7 ways as a sum of consecutive naturals, for example, 4012 + ... + 4244.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2⁹⁶¹⁸²⁴ 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 961824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296).

961824 is an abundant number, since it is smaller than the sum of its proper divisors (1632768).

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

961824 is a wasteful number, since it uses less digits than its factorization.

961824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 961824 is about 980.7262615022. The cubic root of 961824 is about 98.7109208185.

The spelling of 961824 in words is "nine hundred sixty-one thousand, eight hundred twenty-four".