232120240 has 80 divisors (see below), whose sum is σ = 604738080. Its totient is φ = 82114560.

The previous prime is 232120223. The next prime is 232120241. The reversal of 232120240 is 42021232.

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 (16).

It is not an unprimeable number, because it can be changed into a prime (232120241) 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, 28996 + ... + 36124.

It is an arithmetic number, because the mean of its divisors is an integer number (7559226).

Almost surely, 2^232120240 is an apocalyptic number.

232120240 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 232120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302369040).

232120240 is an abundant number, since it is smaller than the sum of its proper divisors (372617840).

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

232120240 is a wasteful number, since it uses less digits than its factorization.

232120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232120240 is about 15235.4927718141. The cubic root of 232120240 is about 614.5695006469.

Adding to 232120240 its reverse (42021232), we get a palindrome (274141472).

The spelling of 232120240 in words is "two hundred thirty-two million, one hundred twenty thousand, two hundred forty".