1322448768 has 384 divisors, whose sum is σ = 4350659040. Its totient is φ = 398131200.

The previous prime is 1322448763. The next prime is 1322448781. The reversal of 1322448768 is 8678442231.

It is a happy number.

1322448768 is a `hidden beast` number, since 132 + 2 + 448 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322448763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21679458 + ... + 21679518.

Almost surely, 2^1322448768 is an apocalyptic number.

1322448768 is a gapful number since it is divisible by the number (18) 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 1322448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175329520).

1322448768 is an abundant number, since it is smaller than the sum of its proper divisors (3028210272).

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

1322448768 is an equidigital number, since it uses as much as digits as its factorization.

1322448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1322448768 is about 36365.4886946401. The cubic root of 1322448768 is about 1097.6392257342.

The spelling of 1322448768 in words is "one billion, three hundred twenty-two million, four hundred forty-eight thousand, seven hundred sixty-eight".