232575840 has 192 divisors, whose sum is σ = 930424320. Its totient is φ = 53153280.

The previous prime is 232575829. The next prime is 232575841. The reversal of 232575840 is 48575232.

232575840 is a `hidden beast` number, since 2 + 3 + 2 + 575 + 84 + 0 = 666.

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 = 232575795 and 232575804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232575841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26395 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (4845960).

Almost surely, 2^232575840 is an apocalyptic number.

232575840 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 232575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465212160).

232575840 is an abundant number, since it is smaller than the sum of its proper divisors (697848480).

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

232575840 is a wasteful number, since it uses less digits than its factorization.

232575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 232575840 is about 15250.4373707773. The cubic root of 232575840 is about 614.9713252544.

The spelling of 232575840 in words is "two hundred thirty-two million, five hundred seventy-five thousand, eight hundred forty".