964224768 has 432 divisors, whose sum is σ = 3231809280. Its totient is φ = 253034496.

The previous prime is 964224739. The next prime is 964224827. The reversal of 964224768 is 867422469.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41922805 + ... + 41922827.

It is an arithmetic number, because the mean of its divisors is an integer number (7481040).

Almost surely, 2^964224768 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 964224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615904640).

964224768 is an abundant number, since it is smaller than the sum of its proper divisors (2267584512).

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

964224768 is a wasteful number, since it uses less digits than its factorization.

964224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 964224768 is about 31051.9688264690. The cubic root of 964224768 is about 987.9298195764.

The spelling of 964224768 in words is "nine hundred sixty-four million, two hundred twenty-four thousand, seven hundred sixty-eight".