964000224 has 144 divisors (see below), whose sum is σ = 3090845520. Its totient is φ = 292089600.

The previous prime is 964000217. The next prime is 964000229. The reversal of 964000224 is 422000469.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964000229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99934 + ... + 109154.

It is an arithmetic number, because the mean of its divisors is an integer number (21464205).

Almost surely, 2^964000224 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 964000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545422760).

964000224 is an abundant number, since it is smaller than the sum of its proper divisors (2126845296).

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

964000224 is a wasteful number, since it uses less digits than its factorization.

964000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9237 counting only the distinct ones).

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

The square root of 964000224 is about 31048.3529997969. The cubic root of 964000224 is about 987.8531255168.

The spelling of 964000224 in words is "nine hundred sixty-four million, two hundred twenty-four", and thus it is an aban number.