324142560 has 336 divisors, whose sum is σ = 1315482336. Its totient is φ = 73903104.

The previous prime is 324142547. The next prime is 324142561. The reversal of 324142560 is 65241423.

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

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 (324142561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816282 + ... + 816678.

It is an arithmetic number, because the mean of its divisors is an integer number (3915126).

Almost surely, 2^324142560 is an apocalyptic number.

324142560 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 324142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657741168).

324142560 is an abundant number, since it is smaller than the sum of its proper divisors (991339776).

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

324142560 is an equidigital number, since it uses as much as digits as its factorization.

324142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 324142560 is about 18003.9595644958. The cubic root of 324142560 is about 686.9292656145.

Adding to 324142560 its reverse (65241423), we get a palindrome (389383983).

It can be divided in two parts, 324 and 142560, that added together give a square (142884 = 378²).

The spelling of 324142560 in words is "three hundred twenty-four million, one hundred forty-two thousand, five hundred sixty".