1324016064 has 336 divisors, whose sum is σ = 4771948800. Its totient is φ = 357944832.

The previous prime is 1324016039. The next prime is 1324016069. The reversal of 1324016064 is 4606104231.

1324016064 is a `hidden beast` number, since 13 + 2 + 40 + 1 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1324016064³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324016069) 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, 1608357 + ... + 1609179.

Almost surely, 2^1324016064 is an apocalyptic number.

1324016064 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 1324016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385974400).

1324016064 is an abundant number, since it is smaller than the sum of its proper divisors (3447932736).

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

1324016064 is a wasteful number, since it uses less digits than its factorization.

1324016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1324016064 is about 36387.0315359745. The cubic root of 1324016064 is about 1098.0726757712.

The spelling of 1324016064 in words is "one billion, three hundred twenty-four million, sixteen thousand, sixty-four".