964822320 has 320 divisors, whose sum is σ = 4144020480. Its totient is φ = 200448000.

The previous prime is 964822319. The next prime is 964822333. The reversal of 964822320 is 23228469.

964822320 is a `hidden beast` number, since 9 + 648 + 2 + 2 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163420 + ... + 169220.

It is an arithmetic number, because the mean of its divisors is an integer number (12950064).

Almost surely, 2^964822320 is an apocalyptic number.

964822320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964822320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072010240).

964822320 is an abundant number, since it is smaller than the sum of its proper divisors (3179198160).

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

964822320 is a wasteful number, since it uses less digits than its factorization.

964822320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 964822320 is about 31061.5891415748. The cubic root of 964822320 is about 988.1338582861.

It can be divided in two parts, 96 and 4822320, that added together give a square (4822416 = 2196²).

The spelling of 964822320 in words is "nine hundred sixty-four million, eight hundred twenty-two thousand, three hundred twenty".