239740128 has 96 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 78542208.

The previous prime is 239740049. The next prime is 239740139. The reversal of 239740128 is 821047932.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 239740092 and 239740101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48625 + ... + 53327.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^239740128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

239740128 is an abundant number, since it is smaller than the sum of its proper divisors (471504672).

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

239740128 is a wasteful number, since it uses less digits than its factorization.

239740128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 239740128 is about 15483.5437804141. The cubic root of 239740128 is about 621.2221194273. Note that the first 3 decimals are identical.

The spelling of 239740128 in words is "two hundred thirty-nine million, seven hundred forty thousand, one hundred twenty-eight".