1322745984 has 384 divisors, whose sum is σ = 4646548800. Its totient is φ = 369266688.

The previous prime is 1322745937. The next prime is 1322745989. The reversal of 1322745984 is 4895472231.

1322745984 is a `hidden beast` number, since 1 + 32 + 27 + 4 + 598 + 4 = 666.

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

Its product of digits (483840) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1322745989) 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, 12362059 + ... + 12362165.

Almost surely, 2^1322745984 is an apocalyptic number.

1322745984 is a gapful number since it is divisible by the number (14) 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 1322745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323274400).

1322745984 is an abundant number, since it is smaller than the sum of its proper divisors (3323802816).

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

1322745984 is a wasteful number, since it uses less digits than its factorization.

1322745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1322745984 is about 36369.5749768952. The cubic root of 1322745984 is about 1097.7214498402.

The spelling of 1322745984 in words is "one billion, three hundred twenty-two million, seven hundred forty-five thousand, nine hundred eighty-four".