1022332320 has 192 divisors, whose sum is σ = 3619728000. Its totient is φ = 269457408.

The previous prime is 1022332319. The next prime is 1022332321. The reversal of 1022332320 is 232332201.

It is a happy number.

1022332320 is a `hidden beast` number, since 10 + 2 + 2 + 332 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1022332319) and next prime (1022332321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022332293 and 1022332302.

It is not an unprimeable number, because it can be changed into a prime (1022332321) 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 31 ways as a sum of consecutive naturals, for example, 383151 + ... + 385809.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 2^1022332320 is an apocalyptic number.

1022332320 is a gapful number since it is divisible by the number (10) 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 1022332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809864000).

1022332320 is an abundant number, since it is smaller than the sum of its proper divisors (2597395680).

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

1022332320 is a wasteful number, since it uses less digits than its factorization.

1022332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1022332320 is about 31973.9318820817. The cubic root of 1022332320 is about 1007.3893693933.

Adding to 1022332320 its reverse (232332201), we get a palindrome (1254664521).

The spelling of 1022332320 in words is "one billion, twenty-two million, three hundred thirty-two thousand, three hundred twenty".