243645024 has 96 divisors (see below), whose sum is σ = 733936896. Its totient is φ = 69327360.

The previous prime is 243645023. The next prime is 243645079. The reversal of 243645024 is 420546342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 243644982 and 243645000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243645023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205714 + ... + 206894.

It is an arithmetic number, because the mean of its divisors is an integer number (7645176).

Almost surely, 2^243645024 is an apocalyptic number.

243645024 is a gapful number since it is divisible by the number (24) 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 243645024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366968448).

243645024 is an abundant number, since it is smaller than the sum of its proper divisors (490291872).

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

243645024 is a wasteful number, since it uses less digits than its factorization.

243645024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 243645024 is about 15609.1327113328. The cubic root of 243645024 is about 624.5768006550.

The spelling of 243645024 in words is "two hundred forty-three million, six hundred forty-five thousand, twenty-four".