232641024 has 240 divisors, whose sum is σ = 789297696. Its totient is φ = 60211200.

The previous prime is 232640983. The next prime is 232641029. The reversal of 232641024 is 420146232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 232640985 and 232641003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232641029) 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 23 ways as a sum of consecutive naturals, for example, 827764 + ... + 828044.

Almost surely, 2^232641024 is an apocalyptic number.

232641024 is a gapful number since it is divisible by the number (24) 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 232641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394648848).

232641024 is an abundant number, since it is smaller than the sum of its proper divisors (556656672).

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

232641024 is a wasteful number, since it uses less digits than its factorization.

232641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 232641024 is about 15252.5743400909. The cubic root of 232641024 is about 615.0287725319.

Adding to 232641024 its reverse (420146232), we get a palindrome (652787256).

The spelling of 232641024 in words is "two hundred thirty-two million, six hundred forty-one thousand, twenty-four".