243765040 has 80 divisors (see below), whose sum is σ = 626263488. Its totient is φ = 87769088.

The previous prime is 243765029. The next prime is 243765101. The reversal of 243765040 is 40567342.

243765040 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 243764993 and 243765011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27384 + ... + 35176.

Almost surely, 2^243765040 is an apocalyptic number.

243765040 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 243765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313131744).

243765040 is an abundant number, since it is smaller than the sum of its proper divisors (382498448).

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

243765040 is a wasteful number, since it uses less digits than its factorization.

243765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 243765040 is about 15612.9766540529. The cubic root of 243765040 is about 624.6793363078.

The spelling of 243765040 in words is "two hundred forty-three million, seven hundred sixty-five thousand, forty".