232644000 has 96 divisors (see below), whose sum is σ = 762181056. Its totient is φ = 62035200.

The previous prime is 232643993. The next prime is 232644007. The reversal of 232644000 is 446232.

It is an interprime number because it is at equal distance from previous prime (232643993) and next prime (232644007).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (232644007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (7939386).

Almost surely, 2^232644000 is an apocalyptic number.

232644000 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 232644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381090528).

232644000 is an abundant number, since it is smaller than the sum of its proper divisors (529537056).

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

232644000 is a wasteful number, since it uses less digits than its factorization.

232644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19415 (or 19397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232644000 is about 15252.6718970809. The cubic root of 232644000 is about 615.0313950527.

The spelling of 232644000 in words is "two hundred thirty-two million, six hundred forty-four thousand".