964224 has 96 divisors (see below), whose sum is σ = 2970240. Its totient is φ = 311040.

The previous prime is 964219. The next prime is 964253. The reversal of 964224 is 422469.

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

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (3456) is a multiple of the sum of its prime divisors (36).

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, 31089 + ... + 31119.

It is an arithmetic number, because the mean of its divisors is an integer number (30940).

2⁹⁶⁴²²⁴ 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 964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485120).

964224 is an abundant number, since it is smaller than the sum of its proper divisors (2006016).

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

964224 is an equidigital number, since it uses as much as digits as its factorization.

964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 964224 is about 981.9490821830. The cubic root of 964224 is about 98.7929557283.

It can be divided in two parts, 96 and 4224, that multiplied together give a palindrome (405504).

The spelling of 964224 in words is "nine hundred sixty-four thousand, two hundred twenty-four".