243165120 has 112 divisors (see below), whose sum is σ = 842272128. Its totient is φ = 58946560.

The previous prime is 243165107. The next prime is 243165121. The reversal of 243165120 is 21561342.

It is a super-2 number, since 2×243165120² = 118258551169228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243165121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 22073.

Almost surely, 2^243165120 is an apocalyptic number.

243165120 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 243165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421136064).

243165120 is an abundant number, since it is smaller than the sum of its proper divisors (599107008).

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

243165120 is a wasteful number, since it uses less digits than its factorization.

243165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23058 (or 23048 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 243165120 is about 15593.7525951902. The cubic root of 243165120 is about 624.1664578930.

The spelling of 243165120 in words is "two hundred forty-three million, one hundred sixty-five thousand, one hundred twenty".