243809680 has 80 divisors (see below), whose sum is σ = 588962304. Its totient is φ = 93795840.

The previous prime is 243809677. The next prime is 243809681. The reversal of 243809680 is 86908342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (243809681) 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, 228829 + ... + 229891.

Almost surely, 2^243809680 is an apocalyptic number.

243809680 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 243809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294481152).

243809680 is an abundant number, since it is smaller than the sum of its proper divisors (345152624).

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

243809680 is a wasteful number, since it uses less digits than its factorization.

243809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 243809680 is about 15614.4061686636. The cubic root of 243809680 is about 624.7174658984.

The spelling of 243809680 in words is "two hundred forty-three million, eight hundred nine thousand, six hundred eighty".