241612000 has 96 divisors (see below), whose sum is σ = 678525120. Its totient is φ = 82828800.

The previous prime is 241611989. The next prime is 241612003. The reversal of 241612000 is 216142.

241612000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241612003) 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, 23686 + ... + 32314.

It is an arithmetic number, because the mean of its divisors is an integer number (7067970).

Almost surely, 2^241612000 is an apocalyptic number.

241612000 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 241612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339262560).

241612000 is an abundant number, since it is smaller than the sum of its proper divisors (436913120).

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

241612000 is an equidigital number, since it uses as much as digits as its factorization.

241612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 241612000 is about 15543.8733911468. The cubic root of 241612000 is about 622.8347473521.

Adding to 241612000 its reverse (216142), we get a palindrome (241828142).

The spelling of 241612000 in words is "two hundred forty-one million, six hundred twelve thousand".