239688144 has 30 divisors (see below), whose sum is σ = 670794306. Its totient is φ = 79896000.

The previous prime is 239688143. The next prime is 239688157. The reversal of 239688144 is 441886932.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 198471744 + 41216400 = 14088^2 + 6420^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 239688144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239688143) 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 5 ways as a sum of consecutive naturals, for example, 832107 + ... + 832394.

Almost surely, 2^239688144 is an apocalyptic number.

239688144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

239688144 is an abundant number, since it is smaller than the sum of its proper divisors (431106162).

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

239688144 is a wasteful number, since it uses less digits than its factorization.

239688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664515 (or 1664506 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 239688144 is about 15481.8650039328. The cubic root of 239688144 is about 621.1772153258.

The spelling of 239688144 in words is "two hundred thirty-nine million, six hundred eighty-eight thousand, one hundred forty-four".