240613000 has 64 divisors (see below), whose sum is σ = 582519600. Its totient is φ = 92915200.

The previous prime is 240612997. The next prime is 240613001. The reversal of 240613000 is 316042.

It can be written as a sum of positive squares in 8 ways, for example, as 63776196 + 176836804 = 7986^2 + 13298^2 .

It is not an unprimeable number, because it can be changed into a prime (240613001) 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, 24852 + ... + 33148.

Almost surely, 2^240613000 is an apocalyptic number.

240613000 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 240613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291259800).

240613000 is an abundant number, since it is smaller than the sum of its proper divisors (341906600).

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

240613000 is a wasteful number, since it uses less digits than its factorization.

240613000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 240613000 is about 15511.7052576433. The cubic root of 240613000 is about 621.9751440114.

Adding to 240613000 its reverse (316042), we get a palindrome (240929042).

The spelling of 240613000 in words is "two hundred forty million, six hundred thirteen thousand".