239793120 has 144 divisors (see below), whose sum is σ = 935232480. Its totient is φ = 54807552.

The previous prime is 239793097. The next prime is 239793131. The reversal of 239793120 is 21397932.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815 + ... + 21974.

It is an arithmetic number, because the mean of its divisors is an integer number (6494670).

Almost surely, 2^239793120 is an apocalyptic number.

239793120 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 239793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467616240).

239793120 is an abundant number, since it is smaller than the sum of its proper divisors (695439360).

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

239793120 is a wasteful number, since it uses less digits than its factorization.

239793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23817 (or 23806 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 239793120 is about 15485.2549220218. The cubic root of 239793120 is about 621.2678875646.

The spelling of 239793120 in words is "two hundred thirty-nine million, seven hundred ninety-three thousand, one hundred twenty".