961224 has 48 divisors (see below), whose sum is σ = 2649360. Its totient is φ = 290400.

The previous prime is 961201. The next prime is 961241. The reversal of 961224 is 422169.

961224 = 22² + 23² + ... + 142².

961224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 961194 and 961203.

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, 2739 + ... + 3069.

It is an arithmetic number, because the mean of its divisors is an integer number (55195).

2⁹⁶¹²²⁴ 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 961224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324680).

961224 is an abundant number, since it is smaller than the sum of its proper divisors (1688136).

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

961224 is a wasteful number, since it uses less digits than its factorization.

961224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 961224 is about 980.4203180269. The cubic root of 961224 is about 98.6903907727.

The spelling of 961224 in words is "nine hundred sixty-one thousand, two hundred twenty-four".