243102720 has 528 divisors, whose sum is σ = 1008106560. Its totient is φ = 49545216.

The previous prime is 243102719. The next prime is 243102721. The reversal of 243102720 is 27201342.

It is an interprime number because it is at equal distance from previous prime (243102719) and next prime (243102721).

It is a super-3 number, since 3×243102720³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243102721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12794871 + ... + 12794889.

Almost surely, 2^243102720 is an apocalyptic number.

243102720 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 243102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504053280).

243102720 is an abundant number, since it is smaller than the sum of its proper divisors (765003840).

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

243102720 is a wasteful number, since it uses less digits than its factorization.

243102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 243102720 is about 15591.7516655442. The cubic root of 243102720 is about 624.1130630105.

The spelling of 243102720 in words is "two hundred forty-three million, one hundred two thousand, seven hundred twenty".