243875016 has 384 divisors, whose sum is σ = 898867200. Its totient is φ = 59875200.

The previous prime is 243874987. The next prime is 243875069. The reversal of 243875016 is 610578342.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5671491 + ... + 5671533.

It is an arithmetic number, because the mean of its divisors is an integer number (2340800).

Almost surely, 2^243875016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243875016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449433600).

243875016 is an abundant number, since it is smaller than the sum of its proper divisors (654992184).

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

243875016 is a wasteful number, since it uses less digits than its factorization.

243875016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 243875016 is about 15616.4981990202. The cubic root of 243875016 is about 624.7732647424.

It can be divided in two parts, 24387 and 5016, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 243875016 in words is "two hundred forty-three million, eight hundred seventy-five thousand, sixteen".