324116640 has 240 divisors, whose sum is σ = 1160830440. Its totient is φ = 85155840.

The previous prime is 324116627. The next prime is 324116641. The reversal of 324116640 is 46611423.

324116640 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 16 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238517136 + 85599504 = 15444^2 + 9252^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (324116641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1153300 + ... + 1153580.

Almost surely, 2^324116640 is an apocalyptic number.

324116640 is a gapful number since it is divisible by the number (30) 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 324116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580415220).

324116640 is an abundant number, since it is smaller than the sum of its proper divisors (836713800).

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

324116640 is a wasteful number, since it uses less digits than its factorization.

324116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

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

The square root of 324116640 is about 18003.2397084525. The cubic root of 324116640 is about 686.9109550691.

It can be divided in two parts, 3241 and 16640, that added together give a square (19881 = 141²).

The spelling of 324116640 in words is "three hundred twenty-four million, one hundred sixteen thousand, six hundred forty".