243966960 has 120 divisors (see below), whose sum is σ = 824634720. Its totient is φ = 64636416.

The previous prime is 243966913. The next prime is 243966971. The reversal of 243966960 is 69669342.

243966960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119226 + ... + 121254.

It is an arithmetic number, because the mean of its divisors is an integer number (6871956).

Almost surely, 2^243966960 is an apocalyptic number.

243966960 is a gapful number since it is divisible by the number (20) 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 243966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412317360).

243966960 is an abundant number, since it is smaller than the sum of its proper divisors (580667760).

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

243966960 is a wasteful number, since it uses less digits than its factorization.

243966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 243966960 is about 15619.4417313808. The cubic root of 243966960 is about 624.8517707144.

The spelling of 243966960 in words is "two hundred forty-three million, nine hundred sixty-six thousand, nine hundred sixty".