1322455680 has 768 divisors, whose sum is σ = 5970182400. Its totient is φ = 269402112.

The previous prime is 1322455643. The next prime is 1322455723. The reversal of 1322455680 is 865542231.

1322455680 is a `hidden beast` number, since 1 + 3 + 2 + 24 + 556 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 45601906 + ... + 45601934.

It is an arithmetic number, because the mean of its divisors is an integer number (7773675).

Almost surely, 2^1322455680 is an apocalyptic number.

1322455680 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 1322455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985091200).

1322455680 is an abundant number, since it is smaller than the sum of its proper divisors (4647726720).

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

1322455680 is a wasteful number, since it uses less digits than its factorization.

1322455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1322455680 is about 36365.5837296750. The cubic root of 1322455680 is about 1097.6411380627.

The spelling of 1322455680 in words is "one billion, three hundred twenty-two million, four hundred fifty-five thousand, six hundred eighty".